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387248994 = 2321119791303
BaseRepresentation
bin10111000101001…
…111001101100010
3222222200021202100
4113011033031202
51243113431434
6102232031230
712411363546
oct2705171542
9888607670
10387248994
111896569a0
12a9832516
13622c8822
1439605a26
1523ee5699
hex1714f362

387248994 has 96 divisors (see below), whose sum is σ = 976435200. Its totient is φ = 109680480.

The previous prime is 387248963. The next prime is 387249019. The reversal of 387248994 is 499842783.

387248994 is a `hidden beast` number, since 3 + 8 + 72 + 489 + 94 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 387248994.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296547 + ... + 297849.

It is an arithmetic number, because the mean of its divisors is an integer number (10171200).

Almost surely, 2387248994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387248994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488217600).

387248994 is an abundant number, since it is smaller than the sum of its proper divisors (589186206).

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

387248994 is a wasteful number, since it uses less digits than its factorization.

387248994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1417 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 387248994 is about 19678.6430934656. The cubic root of 387248994 is about 728.8924180917.

The spelling of 387248994 in words is "three hundred eighty-seven million, two hundred forty-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 79 99 114 158 171 198 209 237 342 418 474 627 711 869 1254 1303 1422 1501 1738 1881 2606 2607 3002 3762 3909 4503 5214 7818 7821 9006 11727 13509 14333 15642 16511 23454 24757 27018 28666 33022 42999 49514 49533 74271 85998 99066 102937 128997 148542 148599 205874 222813 257994 272327 297198 308811 445626 544654 617622 816981 926433 1132307 1633962 1852866 1955803 2264614 2450943 3396921 3911606 4901886 5867409 6793842 10190763 11734818 17602227 20381526 21513833 35204454 43027666 64541499 129082998 193624497 387248994