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3362640 = 243514011
BaseRepresentation
bin1100110100111101010000
320022211200020
430310331100
51330101030
6200023440
740403421
oct14647520
96284606
103362640
111997446
121161b80
13909738
14637648
15466510
hex334f50

3362640 has 40 divisors (see below), whose sum is σ = 10424928. Its totient is φ = 896640.

The previous prime is 3362633. The next prime is 3362657. The reversal of 3362640 is 462633.

3362640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33626402 = 22614695539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3362640.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6766 + ... + 7245.

Almost surely, 23362640 is an apocalyptic number.

3362640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3362640 is an abundant number, since it is smaller than the sum of its proper divisors (7062288).

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

3362640 is a wasteful number, since it uses less digits than its factorization.

3362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3362640 is about 1833.7502556237. The cubic root of 3362640 is about 149.8166649018.

The spelling of 3362640 in words is "three million, three hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14011 28022 42033 56044 70055 84066 112088 140110 168132 210165 224176 280220 336264 420330 560440 672528 840660 1120880 1681320 3362640