Search a number
-
+
316472544 = 253217371747
BaseRepresentation
bin10010110111001…
…111110011100000
3211001111110201100
4102313033303200
51122004110134
651223034400
710561654323
oct2267176340
9731443640
10316472544
11152705563
1289b9ba00
135074777b
14300607ba
151cbb4999
hex12dcfce0

316472544 has 144 divisors (see below), whose sum is σ = 979222608. Its totient is φ = 96546816.

The previous prime is 316472539. The next prime is 316472549. The reversal of 316472544 is 445274613.

316472544 is a `hidden beast` number, since 3 + 1 + 647 + 2 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (316472539) and next prime (316472549).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3164725442 = 200309742211663872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316472499 and 316472508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316472549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180279 + ... + 182025.

It is an arithmetic number, because the mean of its divisors is an integer number (6800157).

Almost surely, 2316472544 is an apocalyptic number.

316472544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316472544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489611304).

316472544 is an abundant number, since it is smaller than the sum of its proper divisors (662750064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316472544 is a wasteful number, since it uses less digits than its factorization.

316472544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1806 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 316472544 is about 17789.6752078277. The cubic root of 316472544 is about 681.4678097808.

It can be divided in two parts, 31647 and 2544, that added together give a triangular number (34191 = T261).

The spelling of 316472544 in words is "three hundred sixteen million, four hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 272 288 296 306 333 408 444 544 592 612 629 666 816 888 1184 1224 1258 1332 1632 1747 1776 1887 2448 2516 2664 3494 3552 3774 4896 5032 5241 5328 5661 6988 7548 10064 10482 10656 11322 13976 15096 15723 20128 20964 22644 27952 29699 30192 31446 41928 45288 55904 59398 60384 62892 64639 83856 89097 90576 118796 125784 129278 167712 178194 181152 193917 237592 251568 258556 267291 356388 387834 475184 503136 517112 534582 581751 712776 775668 950368 1034224 1069164 1098863 1163502 1425552 1551336 2068448 2138328 2197726 2327004 2851104 3102672 3296589 4276656 4395452 4654008 6205344 6593178 8553312 8790904 9308016 9889767 13186356 17581808 18616032 19779534 26372712 35163616 39559068 52745424 79118136 105490848 158236272 316472544