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3023207040 = 273571911839
BaseRepresentation
bin1011010000110010…
…0111101010000000
321210200200211102010
42310030213222000
522142420111130
61215553452520
7134626556460
oct26414475200
97720624363
103023207040
111311581217
12704571140
1339244b609
14209727ba0
1512a62a0b0
hexb4327a80

3023207040 has 256 divisors, whose sum is σ = 11593728000. Its totient is φ = 654594048.

The previous prime is 3023207039. The next prime is 3023207071. The reversal of 3023207040 is 407023203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3023206998 and 3023207016.

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 31 ways as a sum of consecutive naturals, for example, 249441 + ... + 261279.

It is an arithmetic number, because the mean of its divisors is an integer number (45288000).

Almost surely, 23023207040 is an apocalyptic number.

3023207040 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 3023207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796864000).

3023207040 is an abundant number, since it is smaller than the sum of its proper divisors (8570520960).

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

3023207040 is a wasteful number, since it uses less digits than its factorization.

3023207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3023207040 is about 54983.6979476645. The cubic root of 3023207040 is about 1445.9589488833.

The spelling of 3023207040 in words is "three billion, twenty-three million, two hundred seven thousand, forty".