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2342894400 = 2632527112113
BaseRepresentation
bin1000101110100101…
…1011101101000000
320001021120100220200
42023221123231000
514244240110100
61024252205200
7112026162630
oct21351335500
96037510820
102342894400
11aa2559270
12554769800
132b4513262
141832366c0
15daa45e00
hex8ba5bb40

2342894400 has 504 divisors, whose sum is σ = 10386876864. Its totient is φ = 486604800.

The previous prime is 2342894383. The next prime is 2342894413. The reversal of 2342894400 is 44982432.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1107744 + ... + 1109856.

Almost surely, 22342894400 is an apocalyptic number.

2342894400 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 2342894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193438432).

2342894400 is an abundant number, since it is smaller than the sum of its proper divisors (8043982464).

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

2342894400 is a wasteful number, since it uses less digits than its factorization.

2342894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2342894400 is about 48403.4544221794. The cubic root of 2342894400 is about 1328.1615543526.

The spelling of 2342894400 in words is "two billion, three hundred forty-two million, eight hundred ninety-four thousand, four hundred".