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3303239940 = 2235572111397
BaseRepresentation
bin1100010011100011…
…0111000100000100
322112012121222100000
43010320313010010
523231112134230
61303435521300
7144600035100
oct30470670404
98465558300
103303239940
111445658070
127822b9230
13408477c60
142349c0900
15144ee2b60
hexc4e37104

3303239940 has 864 divisors, whose sum is σ = 14346993024. Its totient is φ = 627056640.

The previous prime is 3303239923. The next prime is 3303239959. The reversal of 3303239940 is 499323033.

3303239940 is a `hidden beast` number, since 330 + 3 + 239 + 94 + 0 = 666.

It is a super-2 number, since 2×33032399402 = 21822788202422407200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3303239895 and 3303239904.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 34053972 + ... + 34054068.

It is an arithmetic number, because the mean of its divisors is an integer number (16605316).

Almost surely, 23303239940 is an apocalyptic number.

3303239940 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 3303239940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173496512).

3303239940 is an abundant number, since it is smaller than the sum of its proper divisors (11043753084).

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

3303239940 is a wasteful number, since it uses less digits than its factorization.

3303239940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 3303239940 is about 57473.8196051037. The cubic root of 3303239940 is about 1489.2926300151.

The spelling of 3303239940 in words is "three billion, three hundred three million, two hundred thirty-nine thousand, nine hundred forty".