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30935124 = 223211191409
BaseRepresentation
bin111011000000…
…0100001010100
32011012200000100
41312000201110
530404410444
63023014100
7523641603
oct166004124
964180010
1030935124
111650a020
12a43a330
13654180c
144173a3a
152ab0e69
hex1d80854

30935124 has 72 divisors (see below), whose sum is σ = 85962240. Its totient is φ = 9302400.

The previous prime is 30935111. The next prime is 30935131. The reversal of 30935124 is 42153903.

30935124 is a `hidden beast` number, since 309 + 351 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75432 + ... + 75840.

It is an arithmetic number, because the mean of its divisors is an integer number (1193920).

Almost surely, 230935124 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 30935124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981120).

30935124 is an abundant number, since it is smaller than the sum of its proper divisors (55027116).

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

30935124 is a wasteful number, since it uses less digits than its factorization.

30935124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30935124 is about 5561.9352747043. The cubic root of 30935124 is about 313.9187721789.

The spelling of 30935124 in words is "thirty million, nine hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 382 396 409 573 764 818 1146 1227 1636 1719 2101 2292 2454 3438 3681 4202 4499 4908 6303 6876 7362 8404 8998 12606 13497 14724 17996 18909 25212 26994 37818 40491 53988 75636 78119 80982 156238 161964 234357 312476 468714 703071 859309 937428 1406142 1718618 2577927 2812284 3437236 5155854 7733781 10311708 15467562 30935124