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10323052344 = 2333119774447
BaseRepresentation
bin10011001110100110…
…10100011100111000
3222122102122101122000
421213103110130320
5132120200133334
64424202501000
7513546332343
oct114723243470
928572571560
1010323052344
114418104020
122001204760
13c868c9ac7
146dd01745a
15406422299
hex2674d4738

10323052344 has 128 divisors (see below), whose sum is σ = 31321036800. Its totient is φ = 3124293120.

The previous prime is 10323052319. The next prime is 10323052373. The reversal of 10323052344 is 44325032301.

10323052344 is a `hidden beast` number, since 10 + 3 + 2 + 305 + 2 + 344 = 666.

10323052344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319129 + ... + 2323575.

It is an arithmetic number, because the mean of its divisors is an integer number (244695600).

Almost surely, 210323052344 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 10323052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660518400).

10323052344 is an abundant number, since it is smaller than the sum of its proper divisors (20997984456).

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

10323052344 is a wasteful number, since it uses less digits than its factorization.

10323052344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10323052344 its reverse (44325032301), we get a palindrome (54648084645).

The spelling of 10323052344 in words is "ten billion, three hundred twenty-three million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 977 1188 1954 2376 2931 3908 4447 5862 7816 8793 8894 10747 11724 13341 17586 17788 21494 23448 26379 26682 32241 35172 35576 40023 42988 48917 52758 53364 64482 70344 80046 85976 96723 97834 105516 106728 120069 128964 146751 160092 193446 195668 211032 240138 257928 290169 293502 320184 386892 391336 440253 480276 580338 587004 773784 880506 960552 1160676 1174008 1320759 1761012 2321352 2641518 3522024 4344719 5283036 8689438 10566072 13034157 17378876 26068314 34757752 39102471 47791909 52136628 78204942 95583818 104273256 117307413 143375727 156409884 191167636 234614826 286751454 312819768 382335272 430127181 469229652 573502908 860254362 938459304 1147005816 1290381543 1720508724 2580763086 3441017448 5161526172 10323052344