Search a number
-
+
382701132 = 223311322139
BaseRepresentation
bin10110110011111…
…000111001001100
3222200010020021000
4112303320321030
51240432414012
6101550340300
712324622512
oct2663707114
9880106230
10382701132
11187030030
12a81ba690
1361395798
1438b804b2
15238e7ddc
hex16cf8e4c

382701132 has 48 divisors (see below), whose sum is σ = 1082390400. Its totient is φ = 115969680.

The previous prime is 382701089. The next prime is 382701133. The reversal of 382701132 is 231107283.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 382701096 and 382701105.

It is not an unprimeable number, because it can be changed into a prime (382701133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159882 + ... + 162257.

It is an arithmetic number, because the mean of its divisors is an integer number (22549800).

Almost surely, 2382701132 is an apocalyptic number.

It is an amenable number.

382701132 is an abundant number, since it is smaller than the sum of its proper divisors (699689268).

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

382701132 is a wasteful number, since it uses less digits than its factorization.

382701132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322163 (or 322155 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 382701132 is about 19562.7485798903. The cubic root of 382701132 is about 726.0277975833.

The spelling of 382701132 in words is "three hundred eighty-two million, seven hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 322139 644278 966417 1288556 1932834 2899251 3543529 3865668 5798502 7087058 8697753 10630587 11597004 14174116 17395506 21261174 31891761 34791012 42522348 63783522 95675283 127567044 191350566 382701132