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1349746944 = 28372133189
BaseRepresentation
bin101000001110011…
…1000000100000000
310111001210020201120
41100130320010000
510231013400234
6341533432240
745306442200
oct12034700400
93431706646
101349746944
11632995947
1231803b680
13186835140
14cb390400
157d76a049
hex50738100

1349746944 has 432 divisors, whose sum is σ = 4697602560. Its totient is φ = 340623360.

The previous prime is 1349746921. The next prime is 1349746961. The reversal of 1349746944 is 4496479431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15165652 + ... + 15165740.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 21349746944 is an apocalyptic number.

1349746944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348801280).

1349746944 is an abundant number, since it is smaller than the sum of its proper divisors (3347855616).

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

1349746944 is a wasteful number, since it uses less digits than its factorization.

1349746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 1349746944 is about 36738.9023243755. The cubic root of 1349746944 is about 1105.1403885157.

The spelling of 1349746944 in words is "one billion, three hundred forty-nine million, seven hundred forty-six thousand, nine hundred forty-four".