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1345430625 = 3547119319
BaseRepresentation
bin101000000110001…
…1010010001100001
310110202122221211220
41100030122101201
510223412240000
6341301125253
745224654160
oct12014322141
93422587756
101345430625
11630507a40
123166b9829
131859835c6
14ca9893d7
157d1b61a0
hex5031a461

1345430625 has 80 divisors (see below), whose sum is σ = 2795105280. Its totient is φ = 559080000.

The previous prime is 1345430591. The next prime is 1345430627. The reversal of 1345430625 is 5260345431.

It is not a de Polignac number, because 1345430625 - 211 = 1345428577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1345430627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139716 + ... + 149034.

It is an arithmetic number, because the mean of its divisors is an integer number (34938816).

Almost surely, 21345430625 is an apocalyptic number.

1345430625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1345430625 is an abundant number, since it is smaller than the sum of its proper divisors (1449674655).

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

1345430625 is an equidigital number, since it uses as much as digits as its factorization.

1345430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 1345430625 is about 36680.1121181493. The cubic root of 1345430625 is about 1103.9610977615.

The spelling of 1345430625 in words is "one billion, three hundred forty-five million, four hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 625 825 875 1155 1375 1875 1925 2625 4125 4375 5775 6875 9319 9625 13125 20625 27957 28875 46595 48125 65233 102509 139785 144375 195699 232975 307527 326165 512545 698925 717563 978495 1164875 1537635 1630825 2152689 2562725 3494625 3587815 4892475 5824375 7688175 8154125 10763445 12813625 17473125 17939075 24462375 38440875 40770625 53817225 64068125 89695375 122311875 192204375 269086125 448476875 1345430625