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1344998304 = 253313119747
BaseRepresentation
bin101000000101011…
…0000101110100000
310110201211222211000
41100022300232200
510223304421204
6341243552000
745221203566
oct12012605640
93421758730
101344998304
11630242151
1231652b600
131858618b0
14ca8b5a36
157d12d039
hex502b0ba0

1344998304 has 96 divisors (see below), whose sum is σ = 4224709440. Its totient is φ = 413842176.

The previous prime is 1344998293. The next prime is 1344998311. The reversal of 1344998304 is 4038994431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1344998304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48642 + ... + 71105.

It is an arithmetic number, because the mean of its divisors is an integer number (44007390).

Almost surely, 21344998304 is an apocalyptic number.

It is an amenable number.

1344998304 is an abundant number, since it is smaller than the sum of its proper divisors (2879711136).

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

1344998304 is a wasteful number, since it uses less digits than its factorization.

1344998304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119779 (or 119765 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1344998304 is about 36674.2185192814. The cubic root of 1344998304 is about 1103.8428415231.

The spelling of 1344998304 in words is "one billion, three hundred forty-four million, nine hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 119747 239494 359241 478988 718482 957976 1077723 1436964 1556711 1915952 2155446 2873928 3113422 3233169 3831904 4310892 4670133 5747856 6226844 6466338 8621784 9340266 11495712 12453688 12932676 14010399 17243568 18680532 24907376 25865352 28020798 34487136 37361064 42031197 49814752 51730704 56041596 74722128 84062394 103461408 112083192 149444256 168124788 224166384 336249576 448332768 672499152 1344998304