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1348307680 = 25512776599
BaseRepresentation
bin101000001011101…
…1000101011100000
310110222002010102111
41100113120223200
510230131321210
6341442525104
745261266116
oct12027305340
93428063374
101348307680
116320a2575
12317666794
1318644ccc5
14cb0d7ab6
157d58388a
hex505d8ae0

1348307680 has 48 divisors (see below), whose sum is σ = 3188354400. Its totient is φ = 538819072.

The previous prime is 1348307671. The next prime is 1348307683. The reversal of 1348307680 is 867038431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348307683) 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 7 ways as a sum of consecutive naturals, for example, 201021 + ... + 207619.

It is an arithmetic number, because the mean of its divisors is an integer number (66424050).

Almost surely, 21348307680 is an apocalyptic number.

1348307680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348307680 is an abundant number, since it is smaller than the sum of its proper divisors (1840046720).

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

1348307680 is a wasteful number, since it uses less digits than its factorization.

1348307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1348307680 is about 36719.3093616969. The cubic root of 1348307680 is about 1104.7474372103.

The spelling of 1348307680 in words is "one billion, three hundred forty-eight million, three hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1277 2554 5108 6385 6599 10216 12770 13198 20432 25540 26396 32995 40864 51080 52792 65990 102160 105584 131980 204320 211168 263960 527920 1055840 8426923 16853846 33707692 42134615 67415384 84269230 134830768 168538460 269661536 337076920 674153840 1348307680