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1321431944 = 237113367569
BaseRepresentation
bin100111011000011…
…0111001110001000
310102002111200211212
41032300313032020
510201241310234
6335042512252
744513662160
oct11660671610
93362450755
101321431944
11618a06418
1230a665688
13180a000c1
14c76dd5a0
157b0255ce
hex4ec37388

1321431944 has 64 divisors (see below), whose sum is σ = 2869516800. Its totient is φ = 558802944.

The previous prime is 1321431929. The next prime is 1321431953. The reversal of 1321431944 is 4491341231.

It is a self number, because there is not a number n which added to its sum of digits gives 1321431944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322092 + ... + 2322660.

It is an arithmetic number, because the mean of its divisors is an integer number (44836200).

Almost surely, 21321431944 is an apocalyptic number.

1321431944 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 1321431944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434758400).

1321431944 is an abundant number, since it is smaller than the sum of its proper divisors (1548084856).

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

1321431944 is a wasteful number, since it uses less digits than its factorization.

1321431944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 1321431944 is about 36351.5053883605. The cubic root of 1321431944 is about 1097.3578305646.

The spelling of 1321431944 in words is "one billion, three hundred twenty-one million, four hundred thirty-one thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 367 452 569 734 791 904 1138 1468 1582 2276 2569 2936 3164 3983 4552 5138 6328 7966 10276 15932 20552 31864 41471 64297 82942 128594 165884 208823 257188 290297 331768 417646 450079 514376 580594 835292 900158 1161188 1461761 1670584 1800316 2322376 2923522 3600632 5847044 11694088 23596999 47193998 94387996 165178993 188775992 330357986 660715972 1321431944