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3023023032 = 23362331727
BaseRepresentation
bin1011010000101111…
…1010101110111000
321210200100111000000
42310023322232320
522142343214112
61215545513000
7134625162141
oct26413725670
97720314000
103023023032
111311465a47
127044a2760
133923b5933
142096baac8
1512a5e07dc
hexb42fabb8

3023023032 has 224 divisors, whose sum is σ = 9166510080. Its totient is φ = 931487040.

The previous prime is 3023023027. The next prime is 3023023057. The reversal of 3023023032 is 2303203203.

3023023032 is a `hidden beast` number, since 302 + 302 + 30 + 32 = 666.

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 = 3023022996 and 3023023014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4157853 + ... + 4158579.

It is an arithmetic number, because the mean of its divisors is an integer number (40921920).

Almost surely, 23023023032 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 3023023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583255040).

3023023032 is an abundant number, since it is smaller than the sum of its proper divisors (6143487048).

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

3023023032 is a wasteful number, since it uses less digits than its factorization.

3023023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3023023032 is about 54982.0246262358. The cubic root of 3023023032 is about 1445.9296121107.

Adding to 3023023032 its reverse (2303203203), we get a palindrome (5326226235).

The spelling of 3023023032 in words is "three billion, twenty-three million, twenty-three thousand, thirty-two".