Search a number
-
+
383896968 = 233721325111
BaseRepresentation
bin10110111000011…
…100110110001000
3222202100222122020
4112320130312020
51241234200333
6102032124440
712341033100
oct2670346610
9882328566
10383896968
11187777524
12a8696720
13616c3b90
1438db2200
1523a823b3
hex16e1cd88

383896968 has 96 divisors (see below), whose sum is σ = 1202362560. Its totient is φ = 101243520.

The previous prime is 383896943. The next prime is 383896969. The reversal of 383896968 is 869698383.

It is not an unprimeable number, because it can be changed into a prime (383896969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733 + ... + 27843.

It is an arithmetic number, because the mean of its divisors is an integer number (12524610).

Almost surely, 2383896968 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 383896968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601181280).

383896968 is an abundant number, since it is smaller than the sum of its proper divisors (818465592).

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

383896968 is a wasteful number, since it uses less digits than its factorization.

383896968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25147 (or 25136 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The square root of 383896968 is about 19593.2888510326. The cubic root of 383896968 is about 726.7832238287.

The spelling of 383896968 in words is "three hundred eighty-three million, eight hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 25111 50222 75333 100444 150666 175777 200888 301332 326443 351554 527331 602664 652886 703108 979329 1054662 1230439 1305772 1406216 1958658 2109324 2285101 2460878 2611544 3691317 3917316 4218648 4570202 4921756 6855303 7382634 7834632 9140404 9843512 13710606 14765268 15995707 18280808 27421212 29530536 31991414 47987121 54842424 63982828 95974242 127965656 191948484 383896968