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1400431344 = 243132295953
BaseRepresentation
bin101001101111000…
…1110001011110000
310121121011021122120
41103132032023300
510332002300334
6350544034240
746463320134
oct12336161360
93547137576
101400431344
11659563884
12331002980
1319419cc00
14d3dc53c4
1582e2c949
hex5378e2f0

1400431344 has 120 divisors (see below), whose sum is σ = 4053245040. Its totient is φ = 415973376.

The previous prime is 1400431339. The next prime is 1400431369. The reversal of 1400431344 is 4431340041.

It is a super-2 number, since 2×14004313442 = 3922415898515292672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232272 + ... + 238224.

It is an arithmetic number, because the mean of its divisors is an integer number (33777042).

Almost surely, 21400431344 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 1400431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026622520).

1400431344 is an abundant number, since it is smaller than the sum of its proper divisors (2652813696).

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

1400431344 is a wasteful number, since it uses less digits than its factorization.

1400431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1400431344 is about 37422.3375004822. The cubic root of 1400431344 is about 1118.8038207038.

Adding to 1400431344 its reverse (4431340041), we get a palindrome (5831771385).

The spelling of 1400431344 in words is "one billion, four hundred million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 169 174 208 232 312 338 348 377 464 507 624 676 696 754 1014 1131 1352 1392 1508 2028 2262 2704 3016 4056 4524 4901 5953 6032 8112 9048 9802 11906 14703 17859 18096 19604 23812 29406 35718 39208 47624 58812 71436 77389 78416 95248 117624 142872 154778 172637 232167 235248 285744 309556 345274 464334 517911 619112 690548 928668 1006057 1035822 1238224 1381096 1857336 2012114 2071644 2244281 2762192 3018171 3714672 4024228 4143288 4488562 6036342 6732843 8048456 8286576 8977124 12072684 13465686 16096912 17954248 24145368 26931372 29175653 35908496 48290736 53862744 58351306 87526959 107725488 116702612 175053918 233405224 350107836 466810448 700215672 1400431344