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1356831744 = 21031725981
BaseRepresentation
bin101000011011111…
…1001110000000000
310111120010012020120
41100313321300000
510234322103434
6342345340240
745423610452
oct12067716000
93446105216
101356831744
11636994854
1231a497680
13188145b28
14cc2b62d2
157e1b9349
hex50df9c00

1356831744 has 88 divisors (see below), whose sum is σ = 3829331088. Its totient is φ = 425656320.

The previous prime is 1356831739. The next prime is 1356831779. The reversal of 1356831744 is 4471386531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1356831696 and 1356831705.

It is a congruent number.

It is an unprimeable number.

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, 39234 + ... + 65214.

It is an arithmetic number, because the mean of its divisors is an integer number (43515126).

Almost surely, 21356831744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356831744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914665544).

1356831744 is an abundant number, since it is smaller than the sum of its proper divisors (2472499344).

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

1356831744 is a wasteful number, since it uses less digits than its factorization.

1356831744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26021 (or 26003 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 1356831744 is about 36835.1970810528. The cubic root of 1356831744 is about 1107.0706365393.

The spelling of 1356831744 in words is "one billion, three hundred fifty-six million, eight hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 25981 26112 51962 52224 77943 103924 155886 207848 311772 415696 441677 623544 831392 883354 1247088 1325031 1662784 1766708 2494176 2650062 3325568 3533416 4988352 5300124 6651136 7066832 9976704 10600248 13302272 14133664 19953408 21200496 26604544 28267328 39906816 42400992 56534656 79813632 84801984 113069312 169603968 226138624 339207936 452277248 678415872 1356831744