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34481022381 = 3313520918859
BaseRepresentation
bin100000000111001110…
…101010010110101101
310022000001010102111000
4200013032222112231
51031104120204011
623501303550513
72330320566021
oct400716522655
9108001112430
1034481022381
1113694702513
12682375b439
133336855930
141951614381
15d6c219356
hex8073aa5ad

34481022381 has 32 divisors (see below), whose sum is σ = 55025936000. Its totient is φ = 21213892224.

The previous prime is 34481022377. The next prime is 34481022391. The reversal of 34481022381 is 18322018443.

It is a happy number.

34481022381 is a `hidden beast` number, since 344 + 8 + 10 + 223 + 81 = 666.

It is not a de Polignac number, because 34481022381 - 22 = 34481022377 is a prime.

It is a super-2 number, since 2×344810223812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34481022311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818930 + ... + 1837788.

It is an arithmetic number, because the mean of its divisors is an integer number (1719560500).

Almost surely, 234481022381 is an apocalyptic number.

It is an amenable number.

34481022381 is a deficient number, since it is larger than the sum of its proper divisors (20544913619).

34481022381 is a wasteful number, since it uses less digits than its factorization.

34481022381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24084 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 34481022381 in words is "thirty-four billion, four hundred eighty-one million, twenty-two thousand, three hundred eighty-one".

Divisors: 1 3 9 13 27 39 117 351 5209 15627 18859 46881 56577 67717 140643 169731 203151 245167 509193 609453 735501 1828359 2206503 6619509 98236531 294709593 884128779 1277074903 2652386337 3831224709 11493674127 34481022381