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646338420 = 2233572131879
BaseRepresentation
bin100110100001100…
…101011101110100
31200001012101122000
4212201211131310
52310430312140
6144045135300
722005533400
oct4641453564
91601171560
10646338420
11301928692
1216055a530
13a3ba1490
1461baa100
153bb22a30
hex26865774

646338420 has 288 divisors, whose sum is σ = 2520403200. Its totient is φ = 136297728.

The previous prime is 646338403. The next prime is 646338431. The reversal of 646338420 is 24833646.

It is a happy number.

646338420 is a `hidden beast` number, since 646 + 3 + 3 + 8 + 4 + 2 + 0 = 666.

646338420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 343041 + ... + 344919.

It is an arithmetic number, because the mean of its divisors is an integer number (8751400).

Almost surely, 2646338420 is an apocalyptic number.

646338420 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 646338420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260201600).

646338420 is an abundant number, since it is smaller than the sum of its proper divisors (1874064780).

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

646338420 is a wasteful number, since it uses less digits than its factorization.

646338420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 646338420 is about 25423.1866609990. The cubic root of 646338420 is about 864.6094754464.

The spelling of 646338420 in words is "six hundred forty-six million, three hundred thirty-eight thousand, four hundred twenty".