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34034399920 = 2453731140563
BaseRepresentation
bin11111101100100110…
…111011101010110000
310020211220201122122101
4133230212323222300
51024200301244140
623345111150144
72313255424513
oct375446735260
9106756648571
1034034399920
1113485593444
12671a075354
13329516c3a1
14190c194d7a
15d42de699a
hex7ec9bbab0

34034399920 has 40 divisors (see below), whose sum is σ = 79342194096. Its totient is φ = 13577250048.

The previous prime is 34034399887. The next prime is 34034399921. The reversal of 34034399920 is 2999343043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34034399921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540442 + ... + 600121.

Almost surely, 234034399920 is an apocalyptic number.

It is an amenable number.

34034399920 is an abundant number, since it is smaller than the sum of its proper divisors (45307794176).

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

34034399920 is a wasteful number, since it uses less digits than its factorization.

34034399920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140949 (or 1140943 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 34034399920 in words is "thirty-four billion, thirty-four million, three hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 373 746 1492 1865 2984 3730 5968 7460 14920 29840 1140563 2281126 4562252 5702815 9124504 11405630 18249008 22811260 45622520 91245040 425429999 850859998 1701719996 2127149995 3403439992 4254299990 6806879984 8508599980 17017199960 34034399920