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384082916 = 227411572131
BaseRepresentation
bin10110111001001…
…010001111100100
3222202201102201012
4112321022033210
51241311123131
6102040121352
712342436160
oct2671121744
9882642635
10384082916
111878941a8
12a8766258
136175a6c9
143901dca0
1523abc52b
hex16e4a3e4

384082916 has 48 divisors (see below), whose sum is σ = 792285312. Its totient is φ = 159494400.

The previous prime is 384082877. The next prime is 384082969. The reversal of 384082916 is 619280483.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179171 + ... + 181301.

It is an arithmetic number, because the mean of its divisors is an integer number (16505944).

Almost surely, 2384082916 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 384082916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396142656).

384082916 is an abundant number, since it is smaller than the sum of its proper divisors (408202396).

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

384082916 is a wasteful number, since it uses less digits than its factorization.

384082916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 384082916 is about 19598.0334727748. The cubic root of 384082916 is about 726.9005487745.

The spelling of 384082916 in words is "three hundred eighty-four million, eighty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 41 82 157 164 287 314 574 628 1099 1148 2131 2198 4262 4396 6437 8524 12874 14917 25748 29834 45059 59668 87371 90118 174742 180236 334567 349484 611597 669134 1223194 1338268 2341969 2446388 4683938 9367876 13717247 27434494 54868988 96020729 192041458 384082916