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2328119400 = 23352171941293
BaseRepresentation
bin1000101011000100…
…0100100001101000
320000020202201102110
42022301010201220
514231444310100
61023003402320
7111456455055
oct21261044150
96006681373
102328119400
11a95187622
1254b8233a0
132b143c159
141812ac02c
15d95c8250
hex8ac44868

2328119400 has 384 divisors, whose sum is σ = 8268220800. Its totient is φ = 538214400.

The previous prime is 2328119399. The next prime is 2328119401. The reversal of 2328119400 is 49118232.

It is an interprime number because it is at equal distance from previous prime (2328119399) and next prime (2328119401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2328119401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7945654 + ... + 7945946.

It is an arithmetic number, because the mean of its divisors is an integer number (21531825).

Almost surely, 22328119400 is an apocalyptic number.

2328119400 is a gapful number since it is divisible by the number (20) 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 2328119400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134110400).

2328119400 is an abundant number, since it is smaller than the sum of its proper divisors (5940101400).

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

2328119400 is a wasteful number, since it uses less digits than its factorization.

2328119400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2328119400 is about 48250.5896337029. The cubic root of 2328119400 is about 1325.3637354305.

The spelling of 2328119400 in words is "two billion, three hundred twenty-eight million, one hundred nineteen thousand, four hundred".