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2328403968 = 2133411229
BaseRepresentation
bin1000101011001000…
…1010000000000000
320000021022011210000
42022302022000000
514232032411333
61023013440000
7111462051522
oct21262120000
96007264700
102328403968
11a95361400
1254b940000
132b150b837
14181343a12
15d9632713
hex8ac8a000

2328403968 has 420 divisors, whose sum is σ = 7909548570. Its totient is φ = 681246720.

The previous prime is 2328403937. The next prime is 2328404009. The reversal of 2328403968 is 8693048232.

2328403968 is a `hidden beast` number, since 232 + 8 + 403 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 361304064 = 44352^2 + 19008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 80289778 + ... + 80289806.

Almost surely, 22328403968 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 2328403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954774285).

2328403968 is an abundant number, since it is smaller than the sum of its proper divisors (5581144602).

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

2328403968 is an equidigital number, since it uses as much as digits as its factorization.

2328403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2328403968 is about 48253.5383987537. The cubic root of 2328403968 is about 1325.4177333400.

The spelling of 2328403968 in words is "two billion, three hundred twenty-eight million, four hundred three thousand, nine hundred sixty-eight".