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2343000038400 = 210345273141127
BaseRepresentation
bin100010000110000101101…
…011110101110000000000
322021222200200221011020000
4202012011223311300000
5301341431002212100
64552205342120000
7331163503504020
oct42060553656000
98258620834200
102343000038400
1182372a4923aa
1231a109b80000
1313cc36b41388
148158a7b5a80
1540e30723900
hex22185af5c00

2343000038400 has 2640 divisors, whose sum is σ = 10567302316032. Its totient is φ = 501645312000.

The previous prime is 2343000038383. The next prime is 2343000038453. The reversal of 2343000038400 is 48300003432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18448819137 + ... + 18448819263.

Almost surely, 22343000038400 is an apocalyptic number.

2343000038400 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 2343000038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283651158016).

2343000038400 is an abundant number, since it is smaller than the sum of its proper divisors (8224302277632).

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

2343000038400 is a wasteful number, since it uses less digits than its factorization.

2343000038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 2343000038400 in words is "two trillion, three hundred forty-three billion, thirty-eight thousand, four hundred".