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6028344000 = 2635537443
BaseRepresentation
bin1011001110101000…
…10011101011000000
3120120010101121100000
411213110103223000
544321224002000
62434104200000
7302250035640
oct54724235300
916503347300
106028344000
112613930088
121202a69000
13750c11073
144128aa520
15254386000
hex167513ac0

6028344000 has 672 divisors, whose sum is σ = 25615489536. Its totient is φ = 1374796800.

The previous prime is 6028343977. The next prime is 6028344013. The reversal of 6028344000 is 4438206.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607779 + ... + 13608221.

It is an arithmetic number, because the mean of its divisors is an integer number (38118288).

Almost surely, 26028344000 is an apocalyptic number.

6028344000 is a gapful number since it is divisible by the number (60) 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 6028344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807744768).

6028344000 is an abundant number, since it is smaller than the sum of its proper divisors (19587145536).

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

6028344000 is an equidigital number, since it uses as much as digits as its factorization.

6028344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6028344000 is about 77642.4110908465. The cubic root of 6028344000 is about 1819.9774581598.

The spelling of 6028344000 in words is "six billion, twenty-eight million, three hundred forty-four thousand".