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38394000234 = 232172337473137
BaseRepresentation
bin100011110000011101…
…011111001101101010
310200002202002021222200
4203300131133031222
51112112331001414
625345444401030
72526303421512
oct436035371552
9120082067880
1038394000234
1115312459707
1275360a6176
13380b428945
141c03194842
15eeaa00109
hex8f075f36a

38394000234 has 192 divisors, whose sum is σ = 96433099776. Its totient is φ = 10968072192.

The previous prime is 38394000221. The next prime is 38394000241. The reversal of 38394000234 is 43200049383.

It is a happy number.

38394000234 is a `hidden beast` number, since 38 + 394 + 0 + 0 + 0 + 234 = 666.

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, 12237514 + ... + 12240650.

It is an arithmetic number, because the mean of its divisors is an integer number (502255728).

Almost surely, 238394000234 is an apocalyptic number.

38394000234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38394000234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48216549888).

38394000234 is an abundant number, since it is smaller than the sum of its proper divisors (58039099542).

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

38394000234 is a wasteful number, since it uses less digits than its factorization.

38394000234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 38394000234 in words is "thirty-eight billion, three hundred ninety-four million, two hundred thirty-four", and thus it is an aban number.