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348568900 = 225218672
BaseRepresentation
bin10100110001101…
…011110101000100
3220021220010122021
4110301223311010
51203213201100
654331012524
711431533601
oct2461536504
9807803567
10348568900
11169837a79
129889a144
13572a49b4
14344176a8
1520904a1a
hex14c6bd44

348568900 has 27 divisors (see below), whose sum is σ = 756799869. Its totient is φ = 139352880.

The previous prime is 348568859. The next prime is 348568903. The reversal of 348568900 is 9865843.

The square root of 348568900 is 18670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 125484804 + 223084096 = 11202^2 + 14936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348568903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185767 + ... + 187633.

Almost surely, 2348568900 is an apocalyptic number.

348568900 is the 18670-th square number.

It is an amenable number.

348568900 is an abundant number, since it is smaller than the sum of its proper divisors (408230969).

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

348568900 is an equidigital number, since it uses as much as digits as its factorization.

348568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The cubic root of 348568900 is about 703.7680478321.

The spelling of 348568900 in words is "three hundred forty-eight million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1867 3734 7468 9335 18670 37340 46675 93350 186700 3485689 6971378 13942756 17428445 34856890 69713780 87142225 174284450 348568900