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2343325417680 = 24351319419071063
BaseRepresentation
bin100010000110011001000…
…101000100000011010000
322022000112101012010200110
4202012121011010003100
5301343112301331210
64552301524121320
7331204534255452
oct42063105040320
98260471163613
102343325417680
118238871206a5
1231a19ab36240
1313cc89386bb0
14815bbab42d2
1540e4e097420
hex221991440d0

2343325417680 has 640 divisors, whose sum is σ = 8452938977280. Its totient is φ = 532042629120.

The previous prime is 2343325417679. The next prime is 2343325417681. The reversal of 2343325417680 is 867145233432.

It is an interprime number because it is at equal distance from previous prime (2343325417679) and next prime (2343325417681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343325417681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2204444829 + ... + 2204445891.

It is an arithmetic number, because the mean of its divisors is an integer number (13207717152).

Almost surely, 22343325417680 is an apocalyptic number.

2343325417680 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 2343325417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226469488640).

2343325417680 is an abundant number, since it is smaller than the sum of its proper divisors (6109613559600).

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

2343325417680 is a wasteful number, since it uses less digits than its factorization.

2343325417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 2343325417680 in words is "two trillion, three hundred forty-three billion, three hundred twenty-five million, four hundred seventeen thousand, six hundred eighty".