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2342450880 = 263357211503
BaseRepresentation
bin1000101110011110…
…1111011011000000
320001020201211112000
42023213233123000
514244131412010
61024234504000
7112022334600
oct21347573300
96036654460
102342450880
11aa2286020
12554595000
132b43b9413
1418315cc00
15da9a97c0
hex8b9ef6c0

2342450880 has 672 divisors, whose sum is σ = 10507553280. Its totient is φ = 485775360.

The previous prime is 2342450879. The next prime is 2342450917. The reversal of 2342450880 is 880542432.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×23424508802 = 10974152250425548800, which 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656709 + ... + 4657211.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 22342450880 is an apocalyptic number.

2342450880 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 2342450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

2342450880 is an abundant number, since it is smaller than the sum of its proper divisors (8165102400).

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

2342450880 is a wasteful number, since it uses less digits than its factorization.

2342450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2342450880 is about 48398.8727141449. The cubic root of 2342450880 is about 1328.0777401629.

The spelling of 2342450880 in words is "two billion, three hundred forty-two million, four hundred fifty thousand, eight hundred eighty".