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268481694 = 231337412269
BaseRepresentation
bin10000000000001…
…011010010011110
3200201012021122110
4100000023102132
51022212403234
642350254450
76440025315
oct2000132236
9621167573
10268481694
111286072a8
1275ab7426
1343813a10
142792b27c
15188851e9
hex1000b49e

268481694 has 64 divisors (see below), whose sum is σ = 608650560. Its totient is φ = 78382080.

The previous prime is 268481693. The next prime is 268481747. The reversal of 268481694 is 496184862.

268481694 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268481693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117192 + ... + 119460.

It is an arithmetic number, because the mean of its divisors is an integer number (9510165).

Almost surely, 2268481694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268481694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304325280).

268481694 is an abundant number, since it is smaller than the sum of its proper divisors (340168866).

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

268481694 is a wasteful number, since it uses less digits than its factorization.

268481694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365.

The product of its digits is 663552, while the sum is 48.

The square root of 268481694 is about 16385.4110110183. The cubic root of 268481694 is about 645.1166137330.

The spelling of 268481694 in words is "two hundred sixty-eight million, four hundred eighty-one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 13 26 37 39 41 74 78 82 111 123 222 246 481 533 962 1066 1443 1517 1599 2269 2886 3034 3198 4538 4551 6807 9102 13614 19721 29497 39442 58994 59163 83953 88491 93029 118326 167906 176982 186058 251859 279087 503718 558174 1091389 1209377 2182778 2418754 3274167 3442073 3628131 6548334 6884146 7256262 10326219 20652438 44746949 89493898 134240847 268481694