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1038913344 = 2633785889
BaseRepresentation
bin111101111011001…
…000111101000000
32200101220021012000
4331323020331000
54111430211334
6251031304000
734513421610
oct7573107500
92611807160
101038913344
11493491a77
1224bb1b000
13137313231
149bd9aa40
156131b299
hex3dec8f40

1038913344 has 112 divisors (see below), whose sum is σ = 3490569600. Its totient is φ = 296828928.

The previous prime is 1038913307. The next prime is 1038913361. The reversal of 1038913344 is 4433198301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1038913299 and 1038913308.

It is a congruent number.

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, 30849 + ... + 55040.

It is an arithmetic number, because the mean of its divisors is an integer number (31165800).

Almost surely, 21038913344 is an apocalyptic number.

1038913344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1038913344 is an abundant number, since it is smaller than the sum of its proper divisors (2451656256).

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

1038913344 is an equidigital number, since it uses as much as digits as its factorization.

1038913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85917 (or 85901 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1038913344 is about 32232.1787038978. The cubic root of 1038913344 is about 1012.8064104174.

The spelling of 1038913344 in words is "one billion, thirty-eight million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 85889 171778 257667 343556 515334 601223 687112 773001 1030668 1202446 1374224 1546002 1803669 2061336 2319003 2404892 2748448 3092004 3607338 4122672 4638006 4809784 5411007 5496896 6184008 7214676 8245344 9276012 9619568 10822014 12368016 14429352 16233021 16490688 18552024 19239136 21644028 24736032 28858704 32466042 37104048 38478272 43288056 49472064 57717408 64932084 74208096 86576112 115434816 129864168 148416192 173152224 259728336 346304448 519456672 1038913344