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3022987968 = 2632731113107
BaseRepresentation
bin1011010000101111…
…0010001011000000
321210200021200220100
42310023302023000
522142341103333
61215545042400
7134624655000
oct26413621300
97720250810
103022987968
111311441670
12704486400
133923a29a0
142096ac000
1512a5d5213
hexb42f22c0

3022987968 has 672 divisors, whose sum is σ = 11982297600. Its totient is φ = 718018560.

The previous prime is 3022987967. The next prime is 3022987969. The reversal of 3022987968 is 8697892203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3022987967) and next prime (3022987969).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3022987963) 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 95 ways as a sum of consecutive naturals, for example, 28252171 + ... + 28252277.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 23022987968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3022987968 is an abundant number, since it is smaller than the sum of its proper divisors (8959309632).

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

3022987968 is a wasteful number, since it uses less digits than its factorization.

3022987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3022987968 is about 54981.7057574608. The cubic root of 3022987968 is about 1445.9240216502.

The spelling of 3022987968 in words is "three billion, twenty-two million, nine hundred eighty-seven thousand, nine hundred sixty-eight".