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234934164 = 223219379283
BaseRepresentation
bin11100000000011…
…00111110010100
3121101001220002100
432000030332110
5440120343124
635151242100
75551623153
oct1600147624
9541056070
10234934164
11110683573
1266819330
13398990ca
14232b759a
151595a1c9
hexe00cf94

234934164 has 72 divisors (see below), whose sum is σ = 642081440. Its totient is φ = 72176832.

The previous prime is 234934163. The next prime is 234934177. The reversal of 234934164 is 461439432.

It is a happy number.

234934164 is a `hidden beast` number, since 2 + 3 + 493 + 4 + 164 = 666.

It is a super-2 number, since 2×2349341642 = 110388122828757792, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234934163) 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, 20667 + ... + 29949.

Almost surely, 2234934164 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 234934164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321040720).

234934164 is an abundant number, since it is smaller than the sum of its proper divisors (407147276).

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

234934164 is a wasteful number, since it uses less digits than its factorization.

234934164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9344 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 234934164 is about 15327.5622327884. The cubic root of 234934164 is about 617.0429463297.

The spelling of 234934164 in words is "two hundred thirty-four million, nine hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 9283 12654 18566 25308 27849 37132 55698 83547 111396 167094 176377 334188 343471 352754 529131 686942 705508 1030413 1058262 1373884 1587393 2060826 2116524 3091239 3174786 4121652 6182478 6349572 6525949 12364956 13051898 19577847 26103796 39155694 58733541 78311388 117467082 234934164