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3348144 = 243223251
BaseRepresentation
bin1100110001011010110000
320022002210100
430301122300
51324120034
6155432400
740313232
oct14613260
96262710
103348144
111987568
121155700
13902c67
14632252
15462099
hex3316b0

3348144 has 30 divisors (see below), whose sum is σ = 9370556. Its totient is φ = 1116000.

The previous prime is 3348131. The next prime is 3348157. The reversal of 3348144 is 4418433.

3348144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3348131) and next prime (3348157).

It is a super-2 number, since 2×33481442 = 22420136489472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11482 + ... + 11769.

Almost surely, 23348144 is an apocalyptic number.

It is an amenable number.

3348144 is an abundant number, since it is smaller than the sum of its proper divisors (6022412).

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

3348144 is a wasteful number, since it uses less digits than its factorization.

3348144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265 (or 23256 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3348144 is about 1829.7934309643. The cubic root of 3348144 is about 149.6010733239.

The spelling of 3348144 in words is "three million, three hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23251 46502 69753 93004 139506 186008 209259 279012 372016 418518 558024 837036 1116048 1674072 3348144