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2345855064 = 23371931151157
BaseRepresentation
bin1000101111010010…
…1110100001011000
320001111010210011220
42023310232201120
514301014330224
61024435452040
7112063303410
oct21364564130
96044123156
102345855064
11aa41a06a3
12555757020
132b500ba27
141837a7640
15dae2d279
hex8bd2e858

2345855064 has 256 divisors, whose sum is σ = 7377715200. Its totient is φ = 606528000.

The previous prime is 2345855051. The next prime is 2345855069. The reversal of 2345855064 is 4605585432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345855069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14941674 + ... + 14941830.

It is an arithmetic number, because the mean of its divisors is an integer number (28819200).

Almost surely, 22345855064 is an apocalyptic number.

2345855064 is a gapful number since it is divisible by the number (24) 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 2345855064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688857600).

2345855064 is an abundant number, since it is smaller than the sum of its proper divisors (5031860136).

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

2345855064 is a wasteful number, since it uses less digits than its factorization.

2345855064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The square root of 2345855064 is about 48434.0279555603. The cubic root of 2345855064 is about 1328.7207750186.

The spelling of 2345855064 in words is "two billion, three hundred forty-five million, eight hundred fifty-five thousand, sixty-four".