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1923104344 = 23731412659
BaseRepresentation
bin111001010100000…
…0011111001011000
311222000122211012211
41302220003321120
512414303314334
6514454444504
765441055130
oct16250037130
94860584184
101923104344
118a75a6837
12458063734
13248562c85
1414359dac0
15b3c73a64
hex72a03e58

1923104344 has 96 divisors (see below), whose sum is σ = 4366771200. Its totient is φ = 776966400.

The previous prime is 1923104321. The next prime is 1923104353. The reversal of 1923104344 is 4434013291.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2917887 + ... + 2918545.

It is an arithmetic number, because the mean of its divisors is an integer number (45487200).

Almost surely, 21923104344 is an apocalyptic number.

1923104344 is a gapful number since it is divisible by the number (14) 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 1923104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183385600).

1923104344 is an abundant number, since it is smaller than the sum of its proper divisors (2443666856).

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

1923104344 is a wasteful number, since it uses less digits than its factorization.

1923104344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 1923104344 is about 43853.2136108632. The cubic root of 1923104344 is about 1243.5624971452.

The spelling of 1923104344 in words is "one billion, nine hundred twenty-three million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 574 659 868 1148 1271 1318 1681 1736 2296 2542 2636 3362 4613 5084 5272 6724 8897 9226 10168 11767 13448 17794 18452 20429 23534 27019 35588 36904 40858 47068 52111 54038 71176 81716 94136 104222 108076 143003 163432 189133 208444 216152 286006 364777 378266 416888 572012 729554 756532 837589 1107779 1144024 1459108 1513064 1675178 2215558 2918216 3350356 4431116 5863123 6700712 7754453 8862232 11726246 15508906 23452492 31017812 34341149 46904984 62035624 68682298 137364596 240388043 274729192 480776086 961552172 1923104344