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2328400256 = 277132961113
BaseRepresentation
bin1000101011001000…
…1001000110000000
320000021021222200112
42022302021012000
514232032302011
61023013410452
7111462034640
oct21262110600
96007258615
102328400256
11a95359636
1254b939a28
132b1509c40
14181342520
15d963158b
hex8ac89180

2328400256 has 256 divisors, whose sum is σ = 6055862400. Its totient is φ = 867041280.

The previous prime is 2328400237. The next prime is 2328400267. The reversal of 2328400256 is 6520048232.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20605256 + ... + 20605368.

Almost surely, 22328400256 is an apocalyptic number.

2328400256 is a gapful number since it is divisible by the number (26) 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 2328400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027931200).

2328400256 is an abundant number, since it is smaller than the sum of its proper divisors (3727462144).

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

2328400256 is a wasteful number, since it uses less digits than its factorization.

2328400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2328400256 is about 48253.4999352379. The cubic root of 2328400256 is about 1325.4170290016.

Adding to 2328400256 its reverse (6520048232), we get a palindrome (8848448488).

The spelling of 2328400256 in words is "two billion, three hundred twenty-eight million, four hundred thousand, two hundred fifty-six".