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38104344 = 2335171153
BaseRepresentation
bin1001000101011…
…0110100011000
32122200220100000
42101112310120
534223314334
63440413000
7641611245
oct221266430
978626300
1038104344
111a5663a3
1210917160
137b81a65
1450bc5cc
15352a299
hex2456d18

38104344 has 96 divisors (see below), whose sum is σ = 113415120. Its totient is φ = 11943936.

The previous prime is 38104337. The next prime is 38104373. The reversal of 38104344 is 44340183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32472 + ... + 33624.

Almost surely, 238104344 is an apocalyptic number.

38104344 is a gapful number since it is divisible by the number (34) 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 38104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56707560).

38104344 is an abundant number, since it is smaller than the sum of its proper divisors (75310776).

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

38104344 is a wasteful number, since it uses less digits than its factorization.

38104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38104344 is about 6172.8716170029. The cubic root of 38104344 is about 336.5049804714.

The spelling of 38104344 in words is "thirty-eight million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1153 1224 1377 1836 1944 2306 2754 3459 3672 4131 4612 5508 6918 8262 9224 10377 11016 13836 16524 19601 20754 27672 31131 33048 39202 41508 58803 62262 78404 83016 93393 117606 124524 156808 176409 186786 235212 249048 280179 352818 373572 470424 529227 560358 705636 747144 1058454 1120716 1411272 1587681 2116908 2241432 3175362 4233816 4763043 6350724 9526086 12701448 19052172 38104344