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2342096640 = 28335132401
BaseRepresentation
bin1000101110011001…
…1000111100000000
320001020001211121000
42023212120330000
514244034043030
61024223132000
7112016331042
oct21346307400
96036054530
102342096640
11aa2063964
12554444000
132b42c4100
141830a9a92
15da939860
hex8b998f00

2342096640 has 432 divisors, whose sum is σ = 9022134240. Its totient is φ = 575078400.

The previous prime is 2342096629. The next prime is 2342096671. The reversal of 2342096640 is 466902432.

2342096640 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 0 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2342096595 and 2342096604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840440 + ... + 5840840.

It is an arithmetic number, because the mean of its divisors is an integer number (20884570).

Almost surely, 22342096640 is an apocalyptic number.

2342096640 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 2342096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511067120).

2342096640 is an abundant number, since it is smaller than the sum of its proper divisors (6680037600).

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

2342096640 is a wasteful number, since it uses less digits than its factorization.

2342096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2342096640 is about 48395.2129864101. The cubic root of 2342096640 is about 1328.0107900609.

The spelling of 2342096640 in words is "two billion, three hundred forty-two million, ninety-six thousand, six hundred forty".