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332113320 = 2332571111981
BaseRepresentation
bin10011110010111…
…010010110101000
3212010221002211100
4103302322112220
51140010111240
652542201400
711141626260
oct2362722650
9763832740
10332113320
11160518720
1293283260
1353a62976
14321727a0
151e253e30
hex13cba5a8

332113320 has 192 divisors, whose sum is σ = 1345818240. Its totient is φ = 69004800.

The previous prime is 332113319. The next prime is 332113321. The reversal of 332113320 is 23311233.

332113320 is a `hidden beast` number, since 332 + 1 + 1 + 332 + 0 = 666.

332113320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (332113319) and next prime (332113321).

It is a super-2 number, since 2×3321133202 = 220598514642844800, which contains 22 as substring.

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 = 332113293 and 332113302.

It is not an unprimeable number, because it can be changed into a prime (332113321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21730 + ... + 33710.

It is an arithmetic number, because the mean of its divisors is an integer number (7009470).

Almost surely, 2332113320 is an apocalyptic number.

332113320 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 332113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672909120).

332113320 is an abundant number, since it is smaller than the sum of its proper divisors (1013704920).

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

332113320 is a wasteful number, since it uses less digits than its factorization.

332113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 332113320 is about 18223.9765144713. The cubic root of 332113320 is about 692.5143302260.

Adding to 332113320 its reverse (23311233), we get a palindrome (355424553).

It can be divided in two parts, 3321 and 13320, that added together give a square (16641 = 1292).

The spelling of 332113320 in words is "three hundred thirty-two million, one hundred thirteen thousand, three hundred twenty".