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2343925030320 = 24335171921511171
BaseRepresentation
bin100010000110111100110…
…100011001110110110000
322022002002011110121121000
4202012330310121312300
5301400324301432240
64552441224002000
7331225435012326
oct42067464316660
98262064417530
102343925030320
11824064634535
1231a327900300
13140053678383
1481637599d16
1540e86a3a430
hex221bcd19db0

2343925030320 has 960 divisors, whose sum is σ = 9089533946880. Its totient is φ = 553153536000.

The previous prime is 2343925030313. The next prime is 2343925030331. The reversal of 2343925030320 is 230305293432.

2343925030320 is a `hidden beast` number, since 2 + 3 + 43 + 92 + 503 + 0 + 3 + 20 = 666.

It is a super-2 number, since 2×23439250303202 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2001643335 + ... + 2001644505.

It is an arithmetic number, because the mean of its divisors is an integer number (9468264528).

Almost surely, 22343925030320 is an apocalyptic number.

2343925030320 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 2343925030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544766973440).

2343925030320 is an abundant number, since it is smaller than the sum of its proper divisors (6745608916560).

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

2343925030320 is a wasteful number, since it uses less digits than its factorization.

2343925030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 2343925030320 in words is "two trillion, three hundred forty-three billion, nine hundred twenty-five million, thirty thousand, three hundred twenty".