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30662968 = 23717311039
BaseRepresentation
bin111010011111…
…0000100111000
32010200211200111
41310332010320
530322203333
63013114104
7521426260
oct164760470
963624614
1030662968
11163435a6
12a328934
13647798b
1441027a0
152a5a4cd
hex1d3e138

30662968 has 64 divisors (see below), whose sum is σ = 71884800. Its totient is φ = 11957760.

The previous prime is 30662963. The next prime is 30662969. The reversal of 30662968 is 86926603.

It is a self number, because there is not a number n which added to its sum of digits gives 30662968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30662963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28993 + ... + 30031.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 230662968 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 30662968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

30662968 is an abundant number, since it is smaller than the sum of its proper divisors (41221832).

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

30662968 is a wasteful number, since it uses less digits than its factorization.

30662968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 30662968 is about 5537.4152815190. The cubic root of 30662968 is about 312.9954780961.

The spelling of 30662968 in words is "thirty million, six hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1039 1054 1736 2078 2108 3689 4156 4216 7273 7378 8312 14546 14756 17663 29092 29512 32209 35326 58184 64418 70652 123641 128836 141304 225463 247282 257672 450926 494564 547553 901852 989128 1095106 1803704 2190212 3832871 4380424 7665742 15331484 30662968