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3058232832 = 29323179271
BaseRepresentation
bin1011011001001000…
…1110111000000000
321220010121022202200
42312102032320000
522230401422312
61223244313200
7135533356464
oct26622167000
97803538680
103058232832
11132a324656
12714242800
13399793035
142102444a4
1512d7480dc
hexb648ee00

3058232832 has 240 divisors, whose sum is σ = 9260359680. Its totient is φ = 970444800.

The previous prime is 3058232819. The next prime is 3058232839. The reversal of 3058232832 is 2382328503.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058232839) 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 23 ways as a sum of consecutive naturals, for example, 11284857 + ... + 11285127.

It is an arithmetic number, because the mean of its divisors is an integer number (38584832).

Almost surely, 23058232832 is an apocalyptic number.

3058232832 is a gapful number since it is divisible by the number (32) 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 3058232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630179840).

3058232832 is an abundant number, since it is smaller than the sum of its proper divisors (6202126848).

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

3058232832 is a wasteful number, since it uses less digits than its factorization.

3058232832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3058232832 is about 55301.2914134923. The cubic root of 3058232832 is about 1451.5216419361.

The spelling of 3058232832 in words is "three billion, fifty-eight million, two hundred thirty-two thousand, eight hundred thirty-two".