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2375340480 = 263251983523
BaseRepresentation
bin1000110110010100…
…1101000111000000
320010112121210120100
42031211031013000
514331041343410
61031411442400
7112602026622
oct21545150700
96115553510
102375340480
1110098aa507
125635b6400
132bb163716
14187680c12
15dd8048c0
hex8d94d1c0

2375340480 has 336 divisors, whose sum is σ = 8720449920. Its totient is φ = 591722496.

The previous prime is 2375340421. The next prime is 2375340509. The reversal of 2375340480 is 840435732.

It is a happy number.

2375340480 is a `hidden beast` number, since 237 + 5 + 340 + 4 + 80 = 666.

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

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, 4541499 + ... + 4542021.

It is an arithmetic number, because the mean of its divisors is an integer number (25953720).

Almost surely, 22375340480 is an apocalyptic number.

2375340480 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 2375340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360224960).

2375340480 is an abundant number, since it is smaller than the sum of its proper divisors (6345109440).

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

2375340480 is a wasteful number, since it uses less digits than its factorization.

2375340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2375340480 is about 48737.4648499489. The cubic root of 2375340480 is about 1334.2645783245.

The spelling of 2375340480 in words is "two billion, three hundred seventy-five million, three hundred forty thousand, four hundred eighty".