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1345583031 = 313174574441
BaseRepresentation
bin101000000110011…
…1111011110110111
310110202221200220120
41100030333132313
510223432124111
6341304303023
745226160412
oct12014773667
93422850816
101345583031
116306014a1
12316771a73
13185a07aa0
14ca9c8b79
157d1e6406
hex5033f7b7

1345583031 has 32 divisors (see below), whose sum is σ = 2050711488. Its totient is φ = 777461760.

The previous prime is 1345583017. The next prime is 1345583077. The reversal of 1345583031 is 1303855431.

It is not a de Polignac number, because 1345583031 - 25 = 1345582999 is a prime.

It is a super-2 number, since 2×13455830312 = 3621187386630293922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345582983 and 1345583001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345583011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300771 + ... + 305211.

It is an arithmetic number, because the mean of its divisors is an integer number (64084734).

Almost surely, 21345583031 is an apocalyptic number.

1345583031 is a deficient number, since it is larger than the sum of its proper divisors (705128457).

1345583031 is a wasteful number, since it uses less digits than its factorization.

1345583031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1345583031 is about 36682.1895611481. The cubic root of 1345583031 is about 1104.0027805604.

The spelling of 1345583031 in words is "one billion, three hundred forty-five million, five hundred eighty-three thousand, thirty-one".

Divisors: 1 3 13 17 39 51 221 457 663 1371 4441 5941 7769 13323 17823 23307 57733 75497 100997 173199 226491 302991 981461 2029537 2944383 6088611 26383981 34502129 79151943 103506387 448527677 1345583031