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30916944 = 2433591213
BaseRepresentation
bin111010111110…
…0000101010000
32011011202002000
41311330011100
530403320234
63022354000
7523534602
oct165740520
964152060
1030916944
11164a73a3
12a42b900
136536466
14416b172
152aaa899
hex1d7c150

30916944 has 80 divisors (see below), whose sum is σ = 90321600. Its totient is φ = 10122624.

The previous prime is 30916939. The next prime is 30916961. The reversal of 30916944 is 44961903.

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 = 30916899 and 30916908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24882 + ... + 26094.

It is an arithmetic number, because the mean of its divisors is an integer number (1129020).

Almost surely, 230916944 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 30916944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45160800).

30916944 is an abundant number, since it is smaller than the sum of its proper divisors (59404656).

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

30916944 is a wasteful number, since it uses less digits than its factorization.

30916944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30916944 is about 5560.3007112925. The cubic root of 30916944 is about 313.8572653772.

The spelling of 30916944 in words is "thirty million, nine hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1213 1416 1593 2124 2426 2832 3186 3639 4248 4852 6372 7278 8496 9704 10917 12744 14556 19408 21834 25488 29112 32751 43668 58224 65502 71567 87336 131004 143134 174672 214701 262008 286268 429402 524016 572536 644103 858804 1145072 1288206 1717608 1932309 2576412 3435216 3864618 5152824 7729236 10305648 15458472 30916944