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1345368010 = 257216572
BaseRepresentation
bin101000000110000…
…1010111111001010
310110202112202221211
41100030022333022
510223403234020
6341255523334
745224303500
oct12014127712
93422482854
101345368010
11630474998
1231668954a
13185960c5c
14ca970670
157d1a285a
hex5030afca

1345368010 has 36 divisors (see below), whose sum is σ = 2818736982. Its totient is φ = 460990656.

The previous prime is 1345368007. The next prime is 1345368019. The reversal of 1345368010 is 108635431.

It can be written as a sum of positive squares in 3 ways, for example, as 853282521 + 492085489 = 29211^2 + 22183^2 .

It is not an unprimeable number, because it can be changed into a prime (1345368019) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 811102 + ... + 812758.

Almost surely, 21345368010 is an apocalyptic number.

1345368010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345368010 is an abundant number, since it is smaller than the sum of its proper divisors (1473368972).

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

1345368010 is an frugal number, since it uses more digits than its factorization.

1345368010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1345368010 is about 36679.2585802930. The cubic root of 1345368010 is about 1103.9439717461.

The spelling of 1345368010 in words is "one billion, three hundred forty-five million, three hundred sixty-eight thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1657 3314 8285 11599 16570 23198 57995 81193 115990 162386 405965 811930 2745649 5491298 13728245 19219543 27456490 38439086 96097715 134536801 192195430 269073602 672684005 1345368010