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386436096 = 210351553
BaseRepresentation
bin10111000010001…
…000110000000000
3222221010222200000
4113002020300000
51242411423341
6102202400000
712401436564
oct2702106000
9887128600
10386436096
11189151182
12a9500000
13620a2817
14394736a4
1523dd48b6
hex17088c00

386436096 has 132 divisors (see below), whose sum is σ = 1157897832. Its totient is φ = 128729088.

The previous prime is 386436073. The next prime is 386436097. The reversal of 386436096 is 690634683.

386436096 is a `hidden beast` number, since 38 + 6 + 4 + 3 + 609 + 6 = 666.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (386436097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248056 + ... + 249608.

Almost surely, 2386436096 is an apocalyptic number.

386436096 is a gapful number since it is divisible by the number (36) 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 386436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578948916).

386436096 is an abundant number, since it is smaller than the sum of its proper divisors (771461736).

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

386436096 is an equidigital number, since it uses as much as digits as its factorization.

386436096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 386436096 is about 19657.9779224619. The cubic root of 386436096 is about 728.3820399481.

The spelling of 386436096 in words is "three hundred eighty-six million, four hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1553 1728 1944 2304 2592 3072 3106 3456 3888 4608 4659 5184 6212 6912 7776 9216 9318 10368 12424 13824 13977 15552 18636 20736 24848 27648 27954 31104 37272 41472 41931 49696 55908 62208 74544 82944 83862 99392 111816 124416 125793 149088 167724 198784 223632 248832 251586 298176 335448 377379 397568 447264 503172 596352 670896 754758 795136 894528 1006344 1192704 1341792 1509516 1590272 1789056 2012688 2385408 2683584 3019032 3578112 4025376 4770816 5367168 6038064 7156224 8050752 10734336 12076128 14312448 16101504 21468672 24152256 32203008 42937344 48304512 64406016 96609024 128812032 193218048 386436096