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2342208960 = 26355713331
BaseRepresentation
bin1000101110011011…
…0100010111000000
320001020021112200000
42023212310113000
514244101141320
61024225400000
7112020306360
oct21346642700
96036245600
102342208960
11aa2130293
12554499000
132b4333280
141830d89a0
15da95cc90
hex8b9b45c0

2342208960 has 672 divisors, whose sum is σ = 10313651712. Its totient is φ = 492687360.

The previous prime is 2342208959. The next prime is 2342208971. The reversal of 2342208960 is 698022432.

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

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7075995 + ... + 7076325.

It is an arithmetic number, because the mean of its divisors is an integer number (15347696).

Almost surely, 22342208960 is an apocalyptic number.

2342208960 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 2342208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156825856).

2342208960 is an abundant number, since it is smaller than the sum of its proper divisors (7971442752).

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

2342208960 is a wasteful number, since it uses less digits than its factorization.

2342208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2342208960 is about 48396.3734178502. The cubic root of 2342208960 is about 1328.0320188728.

The spelling of 2342208960 in words is "two billion, three hundred forty-two million, two hundred eight thousand, nine hundred sixty".