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268914372 = 2231937127251
BaseRepresentation
bin10000000001110…
…100111011000100
3200202000021011120
4100001310323010
51022320224442
642403433540
76443506626
oct2001647304
9622007146
10268914372
11128882391
12760858b0
134393593c
1427a00c16
151891d4ec
hex10074ec4

268914372 has 96 divisors (see below), whose sum is σ = 686407680. Its totient is φ = 81648000.

The previous prime is 268914343. The next prime is 268914377. The reversal of 268914372 is 273419862.

It is not an unprimeable number, because it can be changed into a prime (268914377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071247 + ... + 1071497.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2268914372 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 268914372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

268914372 is an abundant number, since it is smaller than the sum of its proper divisors (417493308).

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

268914372 is a wasteful number, since it uses less digits than its factorization.

268914372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 268914372 is about 16398.6088434355. The cubic root of 268914372 is about 645.4629786951.

The spelling of 268914372 in words is "two hundred sixty-eight million, nine hundred fourteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 127 148 222 228 251 254 381 444 502 508 703 753 762 1004 1406 1506 1524 2109 2413 2812 3012 4218 4699 4769 4826 7239 8436 9287 9398 9538 9652 14097 14307 14478 18574 18796 19076 27861 28194 28614 28956 31877 37148 55722 56388 57228 63754 89281 95631 111444 127508 176453 178562 191262 267843 352906 357124 382524 529359 535686 605663 705812 1058718 1071372 1179449 1211326 1816989 2117436 2358898 2422652 3538347 3633978 4717796 7076694 7267956 14153388 22409531 44819062 67228593 89638124 134457186 268914372