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268940364 = 2237111915319
BaseRepresentation
bin10000000001111…
…011010001001100
3200202001120211020
4100001323101030
51022322042424
642404154140
76443645460
oct2001732114
9622046736
10268940364
1112889a970
1276098950
1343944714
1427a0a4a0
1518926079
hex1007b44c

268940364 has 96 divisors (see below), whose sum is σ = 823603200. Its totient is φ = 66173760.

The previous prime is 268940363. The next prime is 268940369. The reversal of 268940364 is 463049862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (268940363) 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, 9897 + ... + 25215.

It is an arithmetic number, because the mean of its divisors is an integer number (8579200).

Almost surely, 2268940364 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 268940364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411801600).

268940364 is an abundant number, since it is smaller than the sum of its proper divisors (554662836).

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

268940364 is a wasteful number, since it uses less digits than its factorization.

268940364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 268940364 is about 16399.4013305364. The cubic root of 268940364 is about 645.4837738317.

The spelling of 268940364 in words is "two hundred sixty-eight million, nine hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 15319 17556 30638 45957 61276 91914 107233 168509 183828 214466 291061 321699 337018 428932 505527 582122 643398 674036 873183 1011054 1164244 1179563 1286796 1746366 2022108 2037427 2359126 3201671 3492732 3538689 4074854 4718252 6112281 6403342 7077378 8149708 9605013 12224562 12806684 14154756 19210026 22411697 24449124 38420052 44823394 67235091 89646788 134470182 268940364