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272329668 = 223313316257
BaseRepresentation
bin10000001110110…
…110101111000100
3200222102210002000
4100032312233010
51024204022133
643004545300
76514523022
oct2016665704
9628383060
10272329668
1112a7a5346
1277252230
1344560320
142824d712
1518d95413
hex103b6bc4

272329668 has 96 divisors (see below), whose sum is σ = 785003520. Its totient is φ = 81077760.

The previous prime is 272329627. The next prime is 272329697. The reversal of 272329668 is 866923272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40396 + ... + 46652.

It is an arithmetic number, because the mean of its divisors is an integer number (8177120).

Almost surely, 2272329668 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 272329668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392501760).

272329668 is an abundant number, since it is smaller than the sum of its proper divisors (512673852).

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

272329668 is a wasteful number, since it uses less digits than its factorization.

272329668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6306 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 272329668 is about 16502.4140052297. The cubic root of 272329668 is about 648.1840183824.

The spelling of 272329668 in words is "two hundred seventy-two million, three hundred twenty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 6257 7254 10881 12514 14508 18771 21762 25028 37542 43524 56313 75084 81341 112626 162682 168939 193967 225252 244023 325364 337878 387934 488046 581901 675756 732069 775868 976092 1163802 1464138 1745703 2196207 2327604 2521571 2928276 3491406 4392414 5043142 5237109 6982812 7564713 8784828 10086284 10474218 15129426 20948436 22694139 30258852 45388278 68082417 90776556 136164834 272329668