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2308078080 = 293257111301
BaseRepresentation
bin1000100110010010…
…0111101000000000
312221212001111220100
42021210213220000
514211331444310
61021010042400
7111124224420
oct21144475000
95855044810
102308078080
11a84939250
12544b79400
132aa242c99
1417c772480
15d7969ec0
hex89927a00

2308078080 has 480 divisors, whose sum is σ = 9973611648. Its totient is φ = 479232000.

The previous prime is 2308078057. The next prime is 2308078139. The reversal of 2308078080 is 808708032.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773430 + ... + 1774730.

Almost surely, 22308078080 is an apocalyptic number.

2308078080 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 2308078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986805824).

2308078080 is an abundant number, since it is smaller than the sum of its proper divisors (7665533568).

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

2308078080 is a wasteful number, since it uses less digits than its factorization.

2308078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2308078080 is about 48042.4612192173. The cubic root of 2308078080 is about 1321.5496950798.

The spelling of 2308078080 in words is "two billion, three hundred eight million, seventy-eight thousand, eighty".