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4318468344 = 233443315391
BaseRepresentation
bin1000000010110011…
…01001100011111000
3102010221221220220000
410001121221203320
532321011441334
61552303433000
7212005242501
oct40131514370
912127856800
104318468344
111916732203
12a062b5760
1353a8b7718
142cd773ba8
151a41d1299
hex1016698f8

4318468344 has 80 divisors (see below), whose sum is σ = 12124432320. Its totient is φ = 1436071680.

The previous prime is 4318468313. The next prime is 4318468381. The reversal of 4318468344 is 4438648134.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4318468344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272889 + ... + 288279.

It is an arithmetic number, because the mean of its divisors is an integer number (151555404).

Almost surely, 24318468344 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 4318468344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062216160).

4318468344 is an abundant number, since it is smaller than the sum of its proper divisors (7805963976).

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

4318468344 is a wasteful number, since it uses less digits than its factorization.

4318468344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15842 (or 15829 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4318468344 is about 65715.0541656933. The cubic root of 4318468344 is about 1628.4580678514.

The spelling of 4318468344 in words is "four billion, three hundred eighteen million, four hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 433 648 866 1299 1732 2598 3464 3897 5196 7794 10392 11691 15391 15588 23382 30782 31176 35073 46173 46764 61564 70146 92346 93528 123128 138519 140292 184692 277038 280584 369384 415557 554076 831114 1108152 1246671 1662228 2493342 3324456 4986684 6664303 9973368 13328606 19992909 26657212 39985818 53314424 59978727 79971636 119957454 159943272 179936181 239914908 359872362 479829816 539808543 719744724 1079617086 1439489448 2159234172 4318468344