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18964374 = 23111323312
BaseRepresentation
bin100100001010…
…1111110010110
31022200111020020
41020111332112
514323324444
61514250010
7320123502
oct110257626
938614206
1018964374
11a783240
126426906
133c0cc30
142739302
1519e9119
hex1215f96

18964374 has 96 divisors (see below), whose sum is σ = 48045312. Its totient is φ = 4910400.

The previous prime is 18964369. The next prime is 18964399. The reversal of 18964374 is 47346981.

It is a congruent number.

It is an unprimeable number.

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, 611739 + ... + 611769.

It is an arithmetic number, because the mean of its divisors is an integer number (500472).

Almost surely, 218964374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18964374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022656).

18964374 is an abundant number, since it is smaller than the sum of its proper divisors (29080938).

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

18964374 is a wasteful number, since it uses less digits than its factorization.

18964374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 18964374 is about 4354.8104436359. The cubic root of 18964374 is about 266.6732807387.

The spelling of 18964374 in words is "eighteen million, nine hundred sixty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 23 26 31 33 39 46 62 66 69 78 93 138 143 186 253 286 299 341 403 429 506 598 682 713 759 806 858 897 961 1023 1209 1426 1518 1794 1922 2046 2139 2418 2883 3289 4278 4433 5766 6578 7843 8866 9269 9867 10571 12493 13299 15686 18538 19734 21142 22103 23529 24986 26598 27807 31713 37479 44206 47058 55614 63426 66309 74958 101959 132618 137423 203918 243133 274846 287339 305877 412269 486266 574678 611754 729399 824538 862017 1458798 1724034 3160729 6321458 9482187 18964374