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344274138 = 23513291879
BaseRepresentation
bin10100100001010…
…011010011011010
3212222210221100000
4110201103103122
51201113233023
654054553430
711350165455
oct2441232332
9788727300
10344274138
1116737428a
1297368876
135642cc10
1433a1a49c
1520357243
hex148534da

344274138 has 96 divisors (see below), whose sum is σ = 862243200. Its totient is φ = 102223296.

The previous prime is 344274137. The next prime is 344274163. The reversal of 344274138 is 831472443.

It is not an unprimeable number, because it can be changed into a prime (344274131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 182283 + ... + 184161.

It is an arithmetic number, because the mean of its divisors is an integer number (8981700).

Almost surely, 2344274138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344274138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431121600).

344274138 is an abundant number, since it is smaller than the sum of its proper divisors (517969062).

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

344274138 is a wasteful number, since it uses less digits than its factorization.

344274138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1926 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 344274138 is about 18554.6257844237. The cubic root of 344274138 is about 700.8656895053.

The spelling of 344274138 in words is "three hundred forty-four million, two hundred seventy-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 243 261 351 377 486 522 702 754 783 1053 1131 1566 1879 2106 2262 2349 3159 3393 3758 4698 5637 6318 6786 7047 10179 11274 14094 16911 20358 24427 30537 33822 48854 50733 54491 61074 73281 91611 101466 108982 146562 152199 163473 183222 219843 304398 326946 439686 456597 490419 659529 708383 913194 980838 1319058 1416766 1471257 1978587 2125149 2942514 3957174 4250298 4413771 5935761 6375447 8827542 11871522 12750894 13241313 19126341 26482626 38252682 57379023 114758046 172137069 344274138