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3022409376 = 25347253449
BaseRepresentation
bin1011010000100110…
…0100111010100000
321210122012022020000
42310021210322200
522142214100001
61215524420000
7134620025100
oct26411447240
97718168200
103022409376
111311086998
12704247600
1339222c51c
1420959b200
1512a51da86
hexb4264ea0

3022409376 has 360 divisors, whose sum is σ = 10558617300. Its totient is φ = 845365248.

The previous prime is 3022409371. The next prime is 3022409381. The reversal of 3022409376 is 6739042203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3022409371) and next prime (3022409381).

It can be written as a sum of positive squares in 2 ways, for example, as 2935472400 + 86936976 = 54180^2 + 9324^2 .

It is a super-2 number, since 2×30224093762 = 18269916872265418752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3022409376.

It is not an unprimeable number, because it can be changed into a prime (3022409371) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 6731200 + ... + 6731648.

Almost surely, 23022409376 is an apocalyptic number.

3022409376 is a gapful number since it is divisible by the number (36) 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 3022409376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279308650).

3022409376 is an abundant number, since it is smaller than the sum of its proper divisors (7536207924).

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

3022409376 is a wasteful number, since it uses less digits than its factorization.

3022409376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3022409376 is about 54976.4438282434. The cubic root of 3022409376 is about 1445.8317670707.

The spelling of 3022409376 in words is "three billion, twenty-two million, four hundred nine thousand, three hundred seventy-six".