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1345255040 = 2752101961
BaseRepresentation
bin101000000101110…
…1111011010000000
310110202100000222202
41100023233122000
510223341130130
6341253252332
745223323233
oct12013573200
93422300882
101345255040
116303a8028
123166340a8
131859216cc
14ca94141a
157d17e145
hex502ef680

1345255040 has 32 divisors (see below), whose sum is σ = 3216001860. Its totient is φ = 538101760.

The previous prime is 1345255019. The next prime is 1345255049. The reversal of 1345255040 is 405525431.

It can be written as a sum of positive squares in 2 ways, for example, as 1207145536 + 138109504 = 34744^2 + 11752^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13452550402 = 3619422245290803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345254994 and 1345255012.

It is not an unprimeable number, because it can be changed into a prime (1345255049) 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 3 ways as a sum of consecutive naturals, for example, 1050341 + ... + 1051620.

Almost surely, 21345255040 is an apocalyptic number.

1345255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345255040 is an abundant number, since it is smaller than the sum of its proper divisors (1870746820).

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

1345255040 is an equidigital number, since it uses as much as digits as its factorization.

1345255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101980 (or 2101968 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 1345255040 is about 36677.7185768145. The cubic root of 1345255040 is about 1103.9130716404.

The spelling of 1345255040 in words is "one billion, three hundred forty-five million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2101961 4203922 8407844 10509805 16815688 21019610 33631376 42039220 67262752 84078440 134525504 168156880 269051008 336313760 672627520 1345255040