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344096808 = 233114672791
BaseRepresentation
bin10100100000101…
…000000000101000
3212222110221002020
4110200220000220
51201042044213
654051104440
711345526456
oct2440500050
9788427066
10344096808
11167263030
12972a2120
135639a2a3
14339b19d6
152031e923
hex14828028

344096808 has 64 divisors (see below), whose sum is σ = 940792320. Its totient is φ = 104011200.

The previous prime is 344096801. The next prime is 344096911. The reversal of 344096808 is 808690443.

It is a super-2 number, since 2×3440968082 = 236805226551577728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344096808.

It is not an unprimeable number, because it can be changed into a prime (344096801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121893 + ... + 124683.

It is an arithmetic number, because the mean of its divisors is an integer number (14699880).

Almost surely, 2344096808 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 344096808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470396160).

344096808 is an abundant number, since it is smaller than the sum of its proper divisors (596695512).

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

344096808 is a wasteful number, since it uses less digits than its factorization.

344096808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 344096808 is about 18549.8465761849. The cubic root of 344096808 is about 700.7453340055.

The spelling of 344096808 in words is "three hundred forty-four million, ninety-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 467 934 1401 1868 2791 2802 3736 5137 5582 5604 8373 10274 11164 11208 15411 16746 20548 22328 30701 30822 33492 41096 61402 61644 66984 92103 122804 123288 184206 245608 368412 736824 1303397 2606794 3910191 5213588 7820382 10427176 14337367 15640764 28674734 31281528 43012101 57349468 86024202 114698936 172048404 344096808