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344366868 = 223196722543
BaseRepresentation
bin10100100001101…
…001111100010100
3212222222122112110
4110201221330110
51201124214433
654100551020
711351033016
oct2441517424
9788878473
10344366868
11167427a1a
12973b2470
13564631a1
1433a421b6
1520374963
hex14869f14

344366868 has 48 divisors (see below), whose sum is σ = 858475520. Its totient is φ = 107119584.

The previous prime is 344366857. The next prime is 344366903. The reversal of 344366868 is 868663443.

It is a super-2 number, since 2×3443668682 = 237177079552258848, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4005 + ... + 26547.

Almost surely, 2344366868 is an apocalyptic number.

344366868 is a gapful number since it is divisible by the number (38) 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 344366868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429237760).

344366868 is an abundant number, since it is smaller than the sum of its proper divisors (514108652).

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

344366868 is a wasteful number, since it uses less digits than its factorization.

344366868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22636 (or 22634 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 344366868 is about 18557.1244539665. The cubic root of 344366868 is about 700.9286097520.

The spelling of 344366868 in words is "three hundred forty-four million, three hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 3819 5092 7638 15276 22543 45086 67629 90172 135258 270516 428317 856634 1284951 1510381 1713268 2569902 3020762 4531143 5139804 6041524 9062286 18124572 28697239 57394478 86091717 114788956 172183434 344366868