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332393112 = 233317131691
BaseRepresentation
bin10011110011111…
…110101010011000
3212011110022122000
4103303332222120
51140043034422
652552201000
711144203062
oct2363765230
9764408560
10332393112
11160699957
1293399160
1353b3011c
1432206732
151e2abcac
hex13cfea98

332393112 has 128 divisors (see below), whose sum is σ = 986515200. Its totient is φ = 103334400.

The previous prime is 332393111. The next prime is 332393123. The reversal of 332393112 is 211393233.

332393112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3323931122 = 220970361810089088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332393111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480687 + ... + 481377.

It is an arithmetic number, because the mean of its divisors is an integer number (7707150).

Almost surely, 2332393112 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 332393112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493257600).

332393112 is an abundant number, since it is smaller than the sum of its proper divisors (654122088).

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

332393112 is a wasteful number, since it uses less digits than its factorization.

332393112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 332393112 is about 18231.6513788521. The cubic root of 332393112 is about 692.7087473839.

The spelling of 332393112 in words is "three hundred thirty-two million, three hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 131 136 153 204 216 262 306 393 408 459 524 612 691 786 918 1048 1179 1224 1382 1572 1836 2073 2227 2358 2764 3144 3537 3672 4146 4454 4716 5528 6219 6681 7074 8292 8908 9432 11747 12438 13362 14148 16584 17816 18657 20043 23494 24876 26724 28296 35241 37314 40086 46988 49752 53448 60129 70482 74628 80172 90521 93976 105723 120258 140964 149256 160344 181042 211446 240516 271563 281928 317169 362084 422892 481032 543126 634338 724168 814689 845784 1086252 1268676 1538857 1629378 2172504 2444067 2537352 3077714 3258756 4616571 4888134 6155428 6517512 9233142 9776268 12310856 13849713 18466284 19552536 27699426 36932568 41549139 55398852 83098278 110797704 166196556 332393112