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1390249344 = 27311229921
BaseRepresentation
bin101001011011101…
…1000010110000000
310120212222222120110
41102313120112000
510321400434334
6345541511320
746310632041
oct12267302600
93525888513
101390249344
11653839a00
12329712540
13192046563
14d28d48c8
15820baae9
hex52dd8580

1390249344 has 96 divisors (see below), whose sum is σ = 4059218520. Its totient is φ = 421273600.

The previous prime is 1390249337. The next prime is 1390249363. The reversal of 1390249344 is 4439420931.

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

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 11 ways as a sum of consecutive naturals, for example, 31504 + ... + 61424.

Almost surely, 21390249344 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 1390249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029609260).

1390249344 is an abundant number, since it is smaller than the sum of its proper divisors (2668969176).

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

1390249344 is a wasteful number, since it uses less digits than its factorization.

1390249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29960 (or 29937 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1390249344 is about 37286.0475781491. The cubic root of 1390249344 is about 1116.0857579812.

The spelling of 1390249344 in words is "one billion, three hundred ninety million, two hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 29921 46464 59842 89763 119684 179526 239368 329131 359052 478736 658262 718104 957472 987393 1316524 1436208 1914944 1974786 2633048 2872416 3620441 3829888 3949572 5266096 5744832 7240882 7899144 10532192 10861323 11489664 14481764 15798288 21064384 21722646 28963528 31596576 42128768 43445292 57927056 63193152 86890584 115854112 126386304 173781168 231708224 347562336 463416448 695124672 1390249344