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1396634624 = 21071117713
BaseRepresentation
bin101001100111110…
…1111010000000000
310121100000101112022
41103033233100000
510330014301444
6350330421012
746416125030
oct12317572000
93540011468
101396634624
116574002a0
1232b891768
13193470a28
14d36b78c0
158292c9ee
hex533ef400

1396634624 has 88 divisors (see below), whose sum is σ = 3481013568. Its totient is φ = 544112640.

The previous prime is 1396634587. The next prime is 1396634639. The reversal of 1396634624 is 4264366931.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69992 + ... + 87704.

Almost surely, 21396634624 is an apocalyptic number.

1396634624 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 1396634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740506784).

1396634624 is an abundant number, since it is smaller than the sum of its proper divisors (2084378944).

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

1396634624 is a wasteful number, since it uses less digits than its factorization.

1396634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17751 (or 17733 counting only the distinct ones).

The product of its digits is 559872, while the sum is 44.

The square root of 1396634624 is about 37371.5750805341. The cubic root of 1396634624 is about 1117.7918397913.

The spelling of 1396634624 in words is "one billion, three hundred ninety-six million, six hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2464 2816 3584 4928 5632 7168 9856 11264 17713 19712 35426 39424 70852 78848 123991 141704 194843 247982 283408 389686 495964 566816 779372 991928 1133632 1363901 1558744 1983856 2267264 2727802 3117488 3967712 4534528 5455604 6234976 7935424 9069056 10911208 12469952 15870848 18138112 21822416 24939904 31741696 43644832 49879808 63483392 87289664 99759616 126966784 174579328 199519232 349158656 698317312 1396634624