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384080944 = 24133535231
BaseRepresentation
bin10110111001001…
…001110000110000
3222202201100000011
4112321021300300
51241311042234
6102040104304
712342430342
oct2671116060
9882640004
10384080944
11187892775
12a8765094
1361759840
143901d292
1523abbb64
hex16e49c30

384080944 has 40 divisors (see below), whose sum is σ = 803823552. Its totient is φ = 176732160.

The previous prime is 384080927. The next prime is 384080947. The reversal of 384080944 is 449080483.

It is a super-2 number, since 2×3840809442 = 295036343087862272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384080897 and 384080906.

It is not an unprimeable number, because it can be changed into a prime (384080947) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70809 + ... + 76039.

Almost surely, 2384080944 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 384080944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401911776).

384080944 is an abundant number, since it is smaller than the sum of its proper divisors (419742608).

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

384080944 is a wasteful number, since it uses less digits than its factorization.

384080944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 384080944 is about 19597.9831615399. The cubic root of 384080944 is about 726.8993047286.

The spelling of 384080944 in words is "three hundred eighty-four million, eighty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1412 2824 4589 5231 5648 9178 10462 18356 20924 36712 41848 68003 73424 83696 136006 272012 544024 1088048 1846543 3693086 7386172 14772344 24005059 29544688 48010118 96020236 192040472 384080944