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384697764 = 2232113972447
BaseRepresentation
bin10110111011100…
…000010110100100
3222210212200010100
4112323200112210
51241440312024
6102101224100
712350606553
oct2673402644
9883780110
10384697764
11188174140
12a8a02030
1361914519
143913dd9a
1523b8e7c9
hex16ee05a4

384697764 has 72 divisors (see below), whose sum is σ = 1063939968. Its totient is φ = 116233920.

The previous prime is 384697763. The next prime is 384697801. The reversal of 384697764 is 467796483.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 384697764.

It is not an unprimeable number, because it can be changed into a prime (384697763) 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, 155989 + ... + 158435.

It is an arithmetic number, because the mean of its divisors is an integer number (14776944).

Almost surely, 2384697764 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 384697764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531969984).

384697764 is an abundant number, since it is smaller than the sum of its proper divisors (679242204).

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

384697764 is a wasteful number, since it uses less digits than its factorization.

384697764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2860 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 384697764 is about 19613.7136718165. The cubic root of 384697764 is about 727.2882212059.

The spelling of 384697764 in words is "three hundred eighty-four million, six hundred ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 397 794 1191 1588 2382 2447 3573 4367 4764 4894 7146 7341 8734 9788 13101 14292 14682 17468 22023 26202 26917 29364 39303 44046 52404 53834 78606 80751 88092 107668 157212 161502 242253 323004 484506 969012 971459 1942918 2914377 3885836 5828754 8743131 10686049 11657508 17486262 21372098 32058147 34972524 42744196 64116294 96174441 128232588 192348882 384697764