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345144 = 23373197
BaseRepresentation
bin1010100010000111000
3122112110010
41110100320
542021034
611221520
72635152
oct1242070
9575403
10345144
11216348
121478a0
13c1137
148dad2
156c3e9
hex54438

345144 has 32 divisors (see below), whose sum is σ = 879120. Its totient is φ = 112896.

The previous prime is 345143. The next prime is 345181. The reversal of 345144 is 441543.

It is a self number, because there is not a number n which added to its sum of digits gives 345144.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345144.

It is not an unprimeable number, because it can be changed into a prime (345143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 1850.

2345144 is an apocalyptic number.

It is an amenable number.

345144 is an abundant number, since it is smaller than the sum of its proper divisors (533976).

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

345144 is a wasteful number, since it uses less digits than its factorization.

345144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 345144 is about 587.4895743756. The cubic root of 345144 is about 70.1455475007.

Adding to 345144 its reverse (441543), we get a palindrome (786687).

The spelling of 345144 in words is "three hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 197 219 292 394 438 584 591 788 876 1182 1576 1752 2364 4728 14381 28762 43143 57524 86286 115048 172572 345144