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3312112320 = 2632511104549
BaseRepresentation
bin1100010101101010…
…1101001011000000
322112211022201221200
43011122231023000
523240400043240
61304354021200
7145035330066
oct30532551300
98484281850
103312112320
11144a668010
12785277800
1340a26349a
14235c50036
15145b96930
hexc56ad2c0

3312112320 has 168 divisors, whose sum is σ = 12428067600. Its totient is φ = 802928640.

The previous prime is 3312112289. The next prime is 3312112339. The reversal of 3312112320 is 232112133.

3312112320 is a `hidden beast` number, since 331 + 2 + 1 + 12 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3312112293 and 3312112302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20595 + ... + 83954.

Almost surely, 23312112320 is an apocalyptic number.

3312112320 is a gapful number since it is divisible by the number (30) 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 3312112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214033800).

3312112320 is an abundant number, since it is smaller than the sum of its proper divisors (9115955280).

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

3312112320 is a wasteful number, since it uses less digits than its factorization.

3312112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104583 (or 104570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3312112320 is about 57550.9541189371. The cubic root of 3312112320 is about 1490.6248329048.

Adding to 3312112320 its reverse (232112133), we get a palindrome (3544224453).

The spelling of 3312112320 in words is "three billion, three hundred twelve million, one hundred twelve thousand, three hundred twenty".