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345465 = 345853
BaseRepresentation
bin1010100010101111001
3122112220000
41110111321
542023330
611223213
72636121
oct1242571
9575800
10345465
1121660a
12147b09
13c1323
148dc81
156c560
hex54579

345465 has 20 divisors (see below), whose sum is σ = 620004. Its totient is φ = 184032.

The previous prime is 345463. The next prime is 345473. The reversal of 345465 is 564543.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 281961 = 252^2 + 531^2 .

It is not a de Polignac number, because 345465 - 21 = 345463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

345465 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345465.

It is not an unprimeable number, because it can be changed into a prime (345461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22 + ... + 831.

2345465 is an apocalyptic number.

It is an amenable number.

345465 is a deficient number, since it is larger than the sum of its proper divisors (274539).

345465 is an equidigital number, since it uses as much as digits as its factorization.

345465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 345465 is about 587.7627072212. The cubic root of 345465 is about 70.1672869716.

The spelling of 345465 in words is "three hundred forty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 853 2559 4265 7677 12795 23031 38385 69093 115155 345465