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345907620 = 223251921709
BaseRepresentation
bin10100100111100…
…010000110100100
3220002212221001100
4110213202012210
51202023020440
654154000100
711400111012
oct2447420644
9802787040
10345907620
1116828a573
1297a16030
1356882586
1433d238b2
152057b230
hex149e21a4

345907620 has 36 divisors (see below), whose sum is σ = 1049253660. Its totient is φ = 92241984.

The previous prime is 345907613. The next prime is 345907631. The reversal of 345907620 is 26709543.

345907620 is a `hidden beast` number, since 3 + 4 + 590 + 7 + 62 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76422564 + 269485056 = 8742^2 + 16416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960675 + ... + 961034.

It is an arithmetic number, because the mean of its divisors is an integer number (29145935).

Almost surely, 2345907620 is an apocalyptic number.

345907620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345907620 is an abundant number, since it is smaller than the sum of its proper divisors (703346040).

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

345907620 is a wasteful number, since it uses less digits than its factorization.

345907620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921724 (or 1921719 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 345907620 is about 18598.5918821829. The cubic root of 345907620 is about 701.9724098539.

The spelling of 345907620 in words is "three hundred forty-five million, nine hundred seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1921709 3843418 5765127 7686836 9608545 11530254 17295381 19217090 23060508 28825635 34590762 38434180 57651270 69181524 86476905 115302540 172953810 345907620