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384442992 = 24325994457
BaseRepresentation
bin10110111010100…
…010001001110000
3222210101201122100
4112322202021300
51241404133432
6102051540400
712345466023
oct2672421160
9883351570
10384442992
1118800a78a
12a88ba700
136185557b
14390b51ba
1523b3e07c
hex16ea2270

384442992 has 60 divisors (see below), whose sum is σ = 1077944400. Its totient is φ = 127905024.

The previous prime is 384442967. The next prime is 384443009. The reversal of 384442992 is 299244483.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 84028 + ... + 88484.

It is an arithmetic number, because the mean of its divisors is an integer number (17965740).

Almost surely, 2384442992 is an apocalyptic number.

It is an amenable number.

384442992 is an abundant number, since it is smaller than the sum of its proper divisors (693501408).

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

384442992 is a wasteful number, since it uses less digits than its factorization.

384442992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5061 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 384442992 is about 19607.2178546575. The cubic root of 384442992 is about 727.1276331535.

The spelling of 384442992 in words is "three hundred eighty-four million, four hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 599 1198 1797 2396 3594 4457 4792 5391 7188 8914 9584 10782 13371 14376 17828 21564 26742 28752 35656 40113 43128 53484 71312 80226 86256 106968 160452 213936 320904 641808 2669743 5339486 8009229 10678972 16018458 21357944 24027687 32036916 42715888 48055374 64073832 96110748 128147664 192221496 384442992