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382152384 = 26331713009
BaseRepresentation
bin10110110001110…
…010111011000000
3222122002100112000
4112301302323000
51240312334014
6101530504000
712320145615
oct2661627300
9878070460
10382152384
11186795819
12a7b95000
1361232a93
1438a7a50c
152383a509
hex16c72ec0

382152384 has 112 divisors (see below), whose sum is σ = 1189634400. Its totient is φ = 119881728.

The previous prime is 382152361. The next prime is 382152403. The reversal of 382152384 is 483251283.

382152384 is a `hidden beast` number, since 38 + 21 + 523 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 22872 + ... + 35880.

Almost surely, 2382152384 is an apocalyptic number.

382152384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594817200).

382152384 is an abundant number, since it is smaller than the sum of its proper divisors (807482016).

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

382152384 is a wasteful number, since it uses less digits than its factorization.

382152384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13031 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 382152384 is about 19548.7182188501. The cubic root of 382152384 is about 725.6806190299.

The spelling of 382152384 in words is "three hundred eighty-two million, one hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 13009 14688 26018 29376 39027 52036 78054 104072 117081 156108 208144 221153 234162 312216 351243 416288 442306 468324 624432 663459 702486 832576 884612 936648 1248864 1326918 1404972 1769224 1873296 1990377 2497728 2653836 2809944 3538448 3746592 3980754 5307672 5619888 5971131 7076896 7493184 7961508 10615344 11239776 11942262 14153792 15923016 21230688 22479552 23884524 31846032 42461376 47769048 63692064 95538096 127384128 191076192 382152384