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6430230800 = 2452721931557
BaseRepresentation
bin1011111110100010…
…11000100100010000
3121121010121120101022
411333101120210100
5101132114341200
62542022055012
7315230026400
oct57721304420
917533546338
106430230800
1127aa774634
1212b557a468
137b62633c6
14450002800
152797bd885
hex17f458910

6430230800 has 360 divisors, whose sum is σ = 19561962240. Its totient is φ = 2017612800.

The previous prime is 6430230791. The next prime is 6430230803. The reversal of 6430230800 is 80320346.

It is a self number, because there is not a number n which added to its sum of digits gives 6430230800.

It is not an unprimeable number, because it can be changed into a prime (6430230803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11544122 + ... + 11544678.

It is an arithmetic number, because the mean of its divisors is an integer number (54338784).

Almost surely, 26430230800 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 6430230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9780981120).

6430230800 is an abundant number, since it is smaller than the sum of its proper divisors (13131731440).

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

6430230800 is a wasteful number, since it uses less digits than its factorization.

6430230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 6430230800 is about 80188.7199049841. The cubic root of 6430230800 is about 1859.5542539986.

The spelling of 6430230800 in words is "six billion, four hundred thirty million, two hundred thirty thousand, eight hundred".