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2345115040 = 25514656969
BaseRepresentation
bin1000101111000111…
…1001110110100000
320001102202012001121
42023301321312200
514300322140130
61024411542024
7112054102042
oct21361716640
96042665047
102345115040
11aa3835704
1255545a914
132b4b0cc48
14183653a92
15dad33d7a
hex8bc79da0

2345115040 has 24 divisors (see below), whose sum is σ = 5540334660. Its totient is φ = 938045952.

The previous prime is 2345115011. The next prime is 2345115077. The reversal of 2345115040 is 405115432.

It is a happy number.

2345115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2273000976 + 72114064 = 47676^2 + 8492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2345114996 and 2345115014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7328325 + ... + 7328644.

Almost surely, 22345115040 is an apocalyptic number.

2345115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345115040 is an abundant number, since it is smaller than the sum of its proper divisors (3195219620).

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

2345115040 is a wasteful number, since it uses less digits than its factorization.

2345115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14656984 (or 14656976 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2345115040 is about 48426.3878479492. The cubic root of 2345115040 is about 1328.5810407995.

The spelling of 2345115040 in words is "two billion, three hundred forty-five million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14656969 29313938 58627876 73284845 117255752 146569690 234511504 293139380 469023008 586278760 1172557520 2345115040