Search a number
-
+
316019400 = 233521921459
BaseRepresentation
bin10010110101100…
…001001011001000
3211000122110010020
4102311201023020
51121400110100
651205220440
710555056234
oct2265411310
9730573106
10316019400
11152426064
1289a01720
1350619438
142dd835c4
151cb255a0
hex12d612c8

316019400 has 144 divisors (see below), whose sum is σ = 1034643600. Its totient is φ = 79781760.

The previous prime is 316019393. The next prime is 316019411. The reversal of 316019400 is 4910613.

It is a super-2 number, since 2×3160194002 = 199736522352720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215871 + ... + 217329.

It is an arithmetic number, because the mean of its divisors is an integer number (7185025).

Almost surely, 2316019400 is an apocalyptic number.

316019400 is a gapful number since it is divisible by the number (30) 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 316019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321800).

316019400 is an abundant number, since it is smaller than the sum of its proper divisors (718624200).

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

316019400 is a wasteful number, since it uses less digits than its factorization.

316019400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 316019400 is about 17776.9344938884. The cubic root of 316019400 is about 681.1423991885.

The spelling of 316019400 in words is "three hundred sixteen million, nineteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 361 380 456 475 570 600 722 760 950 1083 1140 1425 1444 1459 1805 1900 2166 2280 2850 2888 2918 3610 3800 4332 4377 5415 5700 5836 7220 7295 8664 8754 9025 10830 11400 11672 14440 14590 17508 18050 21660 21885 27075 27721 29180 35016 36100 36475 43320 43770 54150 55442 58360 72200 72950 83163 87540 108300 109425 110884 138605 145900 166326 175080 216600 218850 221768 277210 291800 332652 415815 437700 526699 554420 665304 693025 831630 875400 1053398 1108840 1386050 1580097 1663260 2079075 2106796 2633495 2772100 3160194 3326520 4158150 4213592 5266990 5544200 6320388 7900485 8316300 10533980 12640776 13167475 15800970 16632600 21067960 26334950 31601940 39502425 52669900 63203880 79004850 105339800 158009700 316019400