Search a number
-
+
30984408 = 23327134729
BaseRepresentation
bin111011000110…
…0100011011000
32011022011121200
41312030203120
530413000113
63024034200
7524235360
oct166144330
964264550
1030984408
1116543054
12a462960
13655b090
1441879a0
152ac0873
hex1d8c8d8

30984408 has 96 divisors (see below), whose sum is σ = 103303200. Its totient is φ = 8169984.

The previous prime is 30984403. The next prime is 30984409. The reversal of 30984408 is 80448903.

It is a super-2 number, since 2×309844082 = 1920067078220928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30984403) 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, 4188 + ... + 8916.

It is an arithmetic number, because the mean of its divisors is an integer number (1076075).

Almost surely, 230984408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30984408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51651600).

30984408 is an abundant number, since it is smaller than the sum of its proper divisors (72318792).

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

30984408 is a wasteful number, since it uses less digits than its factorization.

30984408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30984408 is about 5566.3639837869. The cubic root of 30984408 is about 314.0853893023.

The spelling of 30984408 in words is "thirty million, nine hundred eighty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 4729 6552 9458 14187 18916 28374 33103 37832 42561 56748 61477 66206 85122 99309 113496 122954 132412 170244 184431 198618 245908 264824 297927 340488 368862 397236 430339 491816 553293 595854 737724 794472 860678 1106586 1191708 1291017 1475448 1721356 2213172 2383416 2582034 3442712 3873051 4426344 5164068 7746102 10328136 15492204 30984408