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2378466720 = 25335778653
BaseRepresentation
bin1000110111000100…
…1000010110100000
320010202111121222000
42031301020112200
514332341413340
61032002444000
7112640430210
oct21561102640
96122447860
102378466720
111010645283
12564663600
132bb9b9676
14187c56240
15ddc20d30
hex8dc485a0

2378466720 has 192 divisors, whose sum is σ = 9513987840. Its totient is φ = 543642624.

The previous prime is 2378466709. The next prime is 2378466749. The reversal of 2378466720 is 276648732.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9087 + ... + 69566.

It is an arithmetic number, because the mean of its divisors is an integer number (49552020).

Almost surely, 22378466720 is an apocalyptic number.

2378466720 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 2378466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756993920).

2378466720 is an abundant number, since it is smaller than the sum of its proper divisors (7135521120).

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

2378466720 is a wasteful number, since it uses less digits than its factorization.

2378466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78684 (or 78670 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2378466720 is about 48769.5265509109. The cubic root of 2378466720 is about 1334.8496737689.

The spelling of 2378466720 in words is "two billion, three hundred seventy-eight million, four hundred sixty-six thousand, seven hundred twenty".