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342912105 = 3258985621
BaseRepresentation
bin10100011100000…
…110110001101001
3212220020201222100
4110130012301221
51200241141410
654005444013
711332463514
oct2434066151
9786221870
10342912105
11166623a38
1296a10609
1356073c93
1433783d7b
15201888c0
hex14706c69

342912105 has 24 divisors (see below), whose sum is σ = 601066440. Its totient is φ = 180829440.

The previous prime is 342912103. The next prime is 342912113. The reversal of 342912105 is 501219243.

It can be written as a sum of positive squares in 4 ways, for example, as 55711296 + 287200809 = 7464^2 + 16947^2 .

It is not a de Polignac number, because 342912105 - 21 = 342912103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342912103) 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 23 ways as a sum of consecutive naturals, for example, 38806 + ... + 46815.

It is an arithmetic number, because the mean of its divisors is an integer number (25044435).

Almost surely, 2342912105 is an apocalyptic number.

It is an amenable number.

342912105 is a deficient number, since it is larger than the sum of its proper divisors (258154335).

342912105 is a wasteful number, since it uses less digits than its factorization.

342912105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85721 (or 85718 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 342912105 is about 18517.8860834600. The cubic root of 342912105 is about 699.9402023749.

The spelling of 342912105 in words is "three hundred forty-two million, nine hundred twelve thousand, one hundred five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 85621 256863 428105 770589 1284315 3852945 7620269 22860807 38101345 68582421 114304035 342912105