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3268656 = 243222699
BaseRepresentation
bin1100011110000000110000
320011001202100
430132000300
51314044111
6154020400
736532416
oct14360060
96131670
103268656
111932876
121117700
138a5a21
146112b6
15448756
hex31e030

3268656 has 30 divisors (see below), whose sum is σ = 9148100. Its totient is φ = 1089504.

The previous prime is 3268651. The next prime is 3268667. The reversal of 3268656 is 6568623.

It is a super-3 number, since 3×32686563 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3268656.

It is not an unprimeable number, because it can be changed into a prime (3268651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11206 + ... + 11493.

Almost surely, 23268656 is an apocalyptic number.

3268656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3268656 is an abundant number, since it is smaller than the sum of its proper divisors (5879444).

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

3268656 is a wasteful number, since it uses less digits than its factorization.

3268656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22713 (or 22704 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3268656 is about 1807.9424769610. The cubic root of 3268656 is about 148.4076901394.

It can be divided in two parts, 326865 and 6, that multiplied together give a triangular number (1961190 = T1980).

The spelling of 3268656 in words is "three million, two hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22699 45398 68097 90796 136194 181592 204291 272388 363184 408582 544776 817164 1089552 1634328 3268656