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1345345600 = 2652840841
BaseRepresentation
bin101000000110000…
…0101100001000000
310110202111122012211
41100030011201000
510223402024400
6341255231504
745224151244
oct12014054100
93422448184
101345345600
1163045a075
12316678594
131859539b1
14ca966424
157d19adba
hex50305840

1345345600 has 42 divisors (see below), whose sum is σ = 3310394954. Its totient is φ = 538137600.

The previous prime is 1345345591. The next prime is 1345345619. The reversal of 1345345600 is 65435431.

It can be written as a sum of positive squares in 3 ways, for example, as 232989696 + 1112355904 = 15264^2 + 33352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418821 + ... + 422020.

Almost surely, 21345345600 is an apocalyptic number.

1345345600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345345600 is an abundant number, since it is smaller than the sum of its proper divisors (1965049354).

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

1345345600 is an equidigital number, since it uses as much as digits as its factorization.

1345345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840863 (or 840848 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 1345345600 is about 36678.9530930205. The cubic root of 1345345600 is about 1103.9378421911.

The spelling of 1345345600 in words is "one billion, three hundred forty-five million, three hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 840841 1681682 3363364 4204205 6726728 8408410 13453456 16816820 21021025 26906912 33633640 42042050 53813824 67267280 84084100 134534560 168168200 269069120 336336400 672672800 1345345600