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332334112 = 25115031877
BaseRepresentation
bin10011110011110…
…000010000100000
3212011100022200211
4103303300100200
51140034142422
652551023504
711143536055
oct2363602040
9764308624
10332334112
111606595a0
129336ab94
1353b0c306
14321cd02c
151e299577
hex13cf0420

332334112 has 48 divisors (see below), whose sum is σ = 715563072. Its totient is φ = 150680320.

The previous prime is 332334097. The next prime is 332334131. The reversal of 332334112 is 211433233.

332334112 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 2×3323341122 = 220891923997657088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176118 + ... + 177994.

It is an arithmetic number, because the mean of its divisors is an integer number (14907564).

Almost surely, 2332334112 is an apocalyptic number.

332334112 is a gapful number since it is divisible by the number (32) 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 332334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357781536).

332334112 is an abundant number, since it is smaller than the sum of its proper divisors (383228960).

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

332334112 is a wasteful number, since it uses less digits than its factorization.

332334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2393 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 332334112 is about 18230.0332418786. The cubic root of 332334112 is about 692.6677595365.

Adding to 332334112 its reverse (211433233), we get a palindrome (543767345).

The spelling of 332334112 in words is "three hundred thirty-two million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 503 1006 1877 2012 3754 4024 5533 7508 8048 11066 15016 16096 20647 22132 30032 41294 44264 60064 82588 88528 165176 177056 330352 660704 944131 1888262 3776524 7553048 10385441 15106096 20770882 30212192 41541764 83083528 166167056 332334112