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382306536 = 233229277661
BaseRepresentation
bin10110110010011…
…000100011101000
3222122101011222100
4112302120203220
51240332302121
6101534053400
712321360213
oct2662304350
9878334870
10382306536
11186890617
12a804a260
1361287cb1
1438aba77a
152386b026
hex16c988e8

382306536 has 96 divisors (see below), whose sum is σ = 1076610600. Its totient is φ = 122411520.

The previous prime is 382306501. The next prime is 382306537. The reversal of 382306536 is 635603283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 323784036 + 58522500 = 17994^2 + 7650^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 382306536.

It is not an unprimeable number, because it can be changed into a prime (382306537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578046 + ... + 578706.

Almost surely, 2382306536 is an apocalyptic number.

382306536 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 382306536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538305300).

382306536 is an abundant number, since it is smaller than the sum of its proper divisors (694304064).

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

382306536 is a wasteful number, since it uses less digits than its factorization.

382306536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 382306536 is about 19552.6605862220. The cubic root of 382306536 is about 725.7781805311.

The spelling of 382306536 in words is "three hundred eighty-two million, three hundred six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 277 348 522 554 661 696 831 1044 1108 1322 1662 1983 2088 2216 2493 2644 3324 3966 4986 5288 5949 6648 7932 8033 9972 11898 15864 16066 19169 19944 23796 24099 32132 38338 47592 48198 57507 64264 72297 76676 96396 115014 144594 153352 172521 183097 192792 230028 289188 345042 366194 460056 549291 578376 690084 732388 1098582 1380168 1464776 1647873 2197164 3295746 4394328 5309813 6591492 10619626 13182984 15929439 21239252 31858878 42478504 47788317 63717756 95576634 127435512 191153268 382306536