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2342975040 = 2632572331163
BaseRepresentation
bin1000101110100110…
…1111011001000000
320001021201110112100
42023221233121000
514244300200130
61024254030400
7112026650010
oct21351573100
96037643470
102342975040
11aa260390a
125547a8400
132b4540b83
14183257c40
15daa5ec60
hex8ba6f640

2342975040 has 672 divisors, whose sum is σ = 9981444096. Its totient is φ = 492687360.

The previous prime is 2342975039. The next prime is 2342975083. The reversal of 2342975040 is 405792432.

2342975040 is a `hidden beast` number, since 23 + 42 + 97 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2342974986 and 2342975004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14373999 + ... + 14374161.

Almost surely, 22342975040 is an apocalyptic number.

2342975040 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 2342975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990722048).

2342975040 is an abundant number, since it is smaller than the sum of its proper divisors (7638469056).

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

2342975040 is a wasteful number, since it uses less digits than its factorization.

2342975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2342975040 is about 48404.2874134100. The cubic root of 2342975040 is about 1328.1767921597.

The spelling of 2342975040 in words is "two billion, three hundred forty-two million, nine hundred seventy-five thousand, forty".