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344644104 = 23379721149
BaseRepresentation
bin10100100010101…
…101101000001000
3220000111201211110
4110202231220020
51201212102404
654110530320
711353266210
oct2442555010
9800451743
10344644104
111675a7242
12975069a0
135652c42c
1433ab5240
15203cbb89
hex148ada08

344644104 has 64 divisors (see below), whose sum is σ = 994896000. Its totient is φ = 97449984.

The previous prime is 344644093. The next prime is 344644117. The reversal of 344644104 is 401446443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5722 + ... + 26870.

It is an arithmetic number, because the mean of its divisors is an integer number (15545250).

Almost surely, 2344644104 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 344644104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497448000).

344644104 is an abundant number, since it is smaller than the sum of its proper divisors (650251896).

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

344644104 is a wasteful number, since it uses less digits than its factorization.

344644104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21258 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 344644104 is about 18564.5927507177. The cubic root of 344644104 is about 701.1166558334.

The spelling of 344644104 in words is "three hundred forty-four million, six hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 16296 21149 42298 63447 84596 126894 148043 169192 253788 296086 444129 507576 592172 888258 1184344 1776516 2051453 3553032 4102906 6154359 8205812 12308718 14360171 16411624 24617436 28720342 43080513 49234872 57440684 86161026 114881368 172322052 344644104