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346433364 = 22329623149
BaseRepresentation
bin10100101001100…
…010011101010100
3220010212122020100
4110221202131110
51202141331424
654213134100
711404430544
oct2451423524
9803778210
10346433364
11168609572
129802a330
1356a07974
143401d324
1520631dc9
hex14a62754

346433364 has 18 divisors (see below), whose sum is σ = 875706650. Its totient is φ = 115477776.

The previous prime is 346433363. The next prime is 346433369. The reversal of 346433364 is 463334643.

346433364 is a `hidden beast` number, since 3 + 4 + 643 + 3 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175032900 + 171400464 = 13230^2 + 13092^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9623149 = 346433364 / (3 + 4 + 6 + 4 + 3 + 3 + 3 + 6 + 4).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346433363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4811539 + ... + 4811610.

Almost surely, 2346433364 is an apocalyptic number.

It is an amenable number.

346433364 is an abundant number, since it is smaller than the sum of its proper divisors (529273286).

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

346433364 is a wasteful number, since it uses less digits than its factorization.

346433364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623159 (or 9623154 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 346433364 is about 18612.7204889559. The cubic root of 346433364 is about 702.3278717773.

The spelling of 346433364 in words is "three hundred forty-six million, four hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9623149 19246298 28869447 38492596 57738894 86608341 115477788 173216682 346433364