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3345144 = 2331112671
BaseRepresentation
bin1100110000101011111000
320021221200020
430300223320
51324021034
6155410440
740301415
oct14605370
96257606
103345144
111985290
121153a20
1390179a
1463110c
15461249
hex330af8

3345144 has 32 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 1013600.

The previous prime is 3345137. The next prime is 3345161. The reversal of 3345144 is 4415433.

3345144 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33451442 = 22379976761472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

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, 6072 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 23345144 is an apocalyptic number.

It is an amenable number.

3345144 is an abundant number, since it is smaller than the sum of its proper divisors (5778696).

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

3345144 is a wasteful number, since it uses less digits than its factorization.

3345144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12691 (or 12687 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 3345144 is about 1828.9734825852. The cubic root of 3345144 is about 149.5563781802.

Multiplying 3345144 by its sum of digits (24), we get a triangular number (80283456 = T12671).

The spelling of 3345144 in words is "three million, three hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 12671 25342 38013 50684 76026 101368 139381 152052 278762 304104 418143 557524 836286 1115048 1672572 3345144