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2343230400 = 26352769739
BaseRepresentation
bin1000101110101010…
…1101101111000000
320001022012102211010
42023222231233000
514244331333100
61024303320520
7112032062340
oct21352555700
96038172733
102343230400
11aa2768755
125548b0140
132b4600184
141832c2d20
15daab0750
hex8baadbc0

2343230400 has 168 divisors, whose sum is σ = 8786124160. Its totient is φ = 535587840.

The previous prime is 2343230381. The next prime is 2343230419. The reversal of 2343230400 is 40323432.

2343230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2343230381) and next prime (2343230419).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270 + ... + 68469.

Almost surely, 22343230400 is an apocalyptic number.

2343230400 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 2343230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393062080).

2343230400 is an abundant number, since it is smaller than the sum of its proper divisors (6442893760).

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

2343230400 is a wasteful number, since it uses less digits than its factorization.

2343230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69771 (or 69756 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2343230400 is about 48406.9251244076. The cubic root of 2343230400 is about 1328.2250429091.

Adding to 2343230400 its reverse (40323432), we get a palindrome (2383553832).

The spelling of 2343230400 in words is "two billion, three hundred forty-three million, two hundred thirty thousand, four hundred".