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2328443040 = 253571173863
BaseRepresentation
bin1000101011001001…
…0011100010100000
320000021101011101010
42022302103202200
514232040134130
61023014340520
7111462303450
oct21262234240
96007334333
102328443040
11a953887a0
1254b95a740
132b1523561
14181353d60
15d963e0b0
hex8ac938a0

2328443040 has 384 divisors, whose sum is σ = 9280438272. Its totient is φ = 476651520.

The previous prime is 2328443021. The next prime is 2328443057. The reversal of 2328443040 is 403448232.

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

It is a junction number, because it is equal to n+sod(n) for n = 2328442989 and 2328443007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2697649 + ... + 2698511.

It is an arithmetic number, because the mean of its divisors is an integer number (24167808).

Almost surely, 22328443040 is an apocalyptic number.

2328443040 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 2328443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640219136).

2328443040 is an abundant number, since it is smaller than the sum of its proper divisors (6951995232).

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

2328443040 is a wasteful number, since it uses less digits than its factorization.

2328443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2328443040 is about 48253.9432585566. The cubic root of 2328443040 is about 1325.4251470638.

The spelling of 2328443040 in words is "two billion, three hundred twenty-eight million, four hundred forty-three thousand, forty".