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234079164 = 2232111953587
BaseRepresentation
bin11011111001111…
…00001110111100
3121022110110020200
431330330032330
5434411013124
635121043500
75541432354
oct1574741674
9538413220
10234079164
1111014a160
1266486590
1339659ba7
1423133b64
151583bbc9
hexdf3c3bc

234079164 has 144 divisors (see below), whose sum is σ = 693463680. Its totient is φ = 65819520.

The previous prime is 234079163. The next prime is 234079169. The reversal of 234079164 is 461970432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234079163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398479 + ... + 399065.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2234079164 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 234079164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

234079164 is an abundant number, since it is smaller than the sum of its proper divisors (459384516).

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

234079164 is a wasteful number, since it uses less digits than its factorization.

234079164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 234079164 is about 15299.6458782548. The cubic root of 234079164 is about 616.2934980480.

The spelling of 234079164 in words is "two hundred thirty-four million, seventy-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 53 57 66 76 99 106 114 132 159 171 198 209 212 228 318 342 396 418 477 583 587 627 636 684 836 954 1007 1166 1174 1254 1749 1761 1881 1908 2014 2332 2348 2508 3021 3498 3522 3762 4028 5247 5283 6042 6457 6996 7044 7524 9063 10494 10566 11077 11153 12084 12914 18126 19371 20988 21132 22154 22306 25828 31111 33231 33459 36252 38742 44308 44612 58113 62222 66462 66918 77484 93333 99693 100377 116226 122683 124444 132924 133836 186666 199386 200754 232452 245366 279999 342221 368049 373332 398772 401508 490732 559998 591109 684442 736098 1026663 1104147 1119996 1182218 1368884 1472196 1773327 2053326 2208294 2364436 3079989 3546654 4106652 4416588 5319981 6159978 6502199 7093308 10639962 12319956 13004398 19506597 21279924 26008796 39013194 58519791 78026388 117039582 234079164