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1344311472 = 243722919709
BaseRepresentation
bin101000000100000…
…1001000010110000
310110200120002122210
41100020021002300
510223120431342
6341221132120
745212313300
oct12010110260
93420502583
101344311472
1162a913119
1231625a040
1318568109a
14ca777600
157d04479c
hex502090b0

1344311472 has 120 divisors (see below), whose sum is σ = 4179308400. Its totient is φ = 370825728.

The previous prime is 1344311471. The next prime is 1344311483. The reversal of 1344311472 is 2741134431.

It is a super-3 number, since 3×13443114723 (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1344311471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58354 + ... + 78062.

It is an arithmetic number, because the mean of its divisors is an integer number (34827570).

Almost surely, 21344311472 is an apocalyptic number.

1344311472 is a gapful number since it is divisible by the number (12) 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 1344311472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089654200).

1344311472 is an abundant number, since it is smaller than the sum of its proper divisors (2834996928).

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

1344311472 is a wasteful number, since it uses less digits than its factorization.

1344311472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19763 (or 19750 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 1344311472 is about 36664.8533612232. The cubic root of 1344311472 is about 1103.6549147247.

The spelling of 1344311472 in words is "one billion, three hundred forty-four million, three hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4872 5684 8526 9744 11368 17052 19709 22736 34104 39418 59127 68208 78836 118254 137963 157672 236508 275926 315344 413889 473016 551852 571561 827778 946032 965741 1103704 1143122 1655556 1714683 1931482 2207408 2286244 2897223 3311112 3429366 3862964 4000927 4572488 5794446 6622224 6858732 7725928 8001854 9144976 11588892 12002781 13717464 15451856 16003708 23177784 24005562 27434928 28006489 32007416 46355568 48011124 56012978 64014832 84019467 96022248 112025956 168038934 192044496 224051912 336077868 448103824 672155736 1344311472