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34668331880 = 235713172919319
BaseRepresentation
bin100000010010011001…
…001100001101101000
310022111002120201210212
4200102121030031220
51032000043110010
623532034400252
72335053646610
oct402231141550
9108432521725
1034668331880
1113780407956
126876430088
1333665b8860
14196c451a40
15d7d8b8505
hex81264c368

34668331880 has 256 divisors, whose sum is σ = 105162624000. Its totient is φ = 9969942528.

The previous prime is 34668331847. The next prime is 34668331903. The reversal of 34668331880 is 8813386643.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1784861 + ... + 1804179.

It is an arithmetic number, because the mean of its divisors is an integer number (410791500).

Almost surely, 234668331880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34668331880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52581312000).

34668331880 is an abundant number, since it is smaller than the sum of its proper divisors (70494292120).

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

34668331880 is a wasteful number, since it uses less digits than its factorization.

34668331880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19396 (or 19392 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 34668331880 in words is "thirty-four billion, six hundred sixty-eight million, three hundred thirty-one thousand, eight hundred eighty".