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234348861400 = 235219596715601
BaseRepresentation
bin1101101001000001000…
…1111101011111011000
3211101220011201122012021
43122100101331133120
512314421302031100
6255354113224224
722634245312033
oct3322021753730
9741804648167
10234348861400
1190428906165
1239502b62074
1319139680834
14b4b1d3201a
156168c84a1a
hex369047d7d8

234348861400 has 192 divisors, whose sum is σ = 592002288000. Its totient is φ = 85992192000.

The previous prime is 234348861379. The next prime is 234348861401. The reversal of 234348861400 is 4168843432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234348861401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15013600 + ... + 15029200.

It is an arithmetic number, because the mean of its divisors is an integer number (3083345250).

Almost surely, 2234348861400 is an apocalyptic number.

234348861400 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 234348861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296001144000).

234348861400 is an abundant number, since it is smaller than the sum of its proper divisors (357653426600).

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

234348861400 is a wasteful number, since it uses less digits than its factorization.

234348861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15762 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 234348861400 in words is "two hundred thirty-four billion, three hundred forty-eight million, eight hundred sixty-one thousand, four hundred".