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34231164 = 223111731499
BaseRepresentation
bin1000001010010…
…1001101111100
32101102010022220
42002211031330
532230344124
63221405340
7563650212
oct202451574
971363286
1034231164
1118360420
12b569850
137126b36
144790cb2
153012879
hex20a537c

34231164 has 48 divisors (see below), whose sum is σ = 87696000. Its totient is φ = 10306240.

The previous prime is 34231147. The next prime is 34231189. The reversal of 34231164 is 46113243.

It is a super-3 number, since 3×342311643 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 22087 + ... + 23585.

It is an arithmetic number, because the mean of its divisors is an integer number (1827000).

Almost surely, 234231164 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 34231164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43848000).

34231164 is an abundant number, since it is smaller than the sum of its proper divisors (53464836).

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

34231164 is a wasteful number, since it uses less digits than its factorization.

34231164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1688 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34231164 is about 5850.7404659581. The cubic root of 34231164 is about 324.6937201311.

The spelling of 34231164 in words is "thirty-four million, two hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1499 1903 2076 2998 3806 4497 5709 5996 7612 8994 11418 16489 17988 22836 32978 49467 65956 98934 197868 259327 518654 777981 1037308 1555962 2852597 3111924 5705194 8557791 11410388 17115582 34231164