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268374106 = 271113134053
BaseRepresentation
bin11111111111100…
…01000001011010
3200200222211001201
433333301001122
51022200432411
642344104414
76436066540
oct1777610132
9620884051
10268374106
11128543490
1275a6510a
13437a6a60
14278ddd90
15188633c1
hexfff105a

268374106 has 32 divisors (see below), whose sum is σ = 540505728. Its totient is φ = 96517440.

The previous prime is 268374103. The next prime is 268374131. The reversal of 268374106 is 601473862.

It is a super-3 number, since 3×2683741063 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (268374101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65025 + ... + 69028.

It is an arithmetic number, because the mean of its divisors is an integer number (16890804).

Almost surely, 2268374106 is an apocalyptic number.

268374106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

268374106 is an abundant number, since it is smaller than the sum of its proper divisors (272131622).

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

268374106 is a wasteful number, since it uses less digits than its factorization.

268374106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134086.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 268374106 is about 16382.1276395955. The cubic root of 268374106 is about 645.0304302291.

The spelling of 268374106 in words is "two hundred sixty-eight million, three hundred seventy-four thousand, one hundred six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 134053 268106 938371 1474583 1742689 1876742 2949166 3485378 10322081 12198823 19169579 20644162 24397646 38339158 134187053 268374106