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34940206176 = 253661550621
BaseRepresentation
bin100000100010100110…
…010011110001100000
310100012001011101020020
4200202212103301200
51033024143044201
624015025513440
72344564565211
oct404246236140
9110161141206
1034940206176
11138aa921057
1269314a2880
1333aaa19815
1419965c3408
15d976bda36
hex822993c60

34940206176 has 48 divisors (see below), whose sum is σ = 91856964528. Its totient is φ = 11629094400.

The previous prime is 34940206163. The next prime is 34940206183. The reversal of 34940206176 is 67160204943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 211855 + ... + 338766.

It is an arithmetic number, because the mean of its divisors is an integer number (1913686761).

Almost surely, 234940206176 is an apocalyptic number.

It is an amenable number.

34940206176 is an abundant number, since it is smaller than the sum of its proper divisors (56916758352).

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

34940206176 is a wasteful number, since it uses less digits than its factorization.

34940206176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551295 (or 551287 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 34940206176 in words is "thirty-four billion, nine hundred forty million, two hundred six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 661 1322 1983 2644 3966 5288 7932 10576 15864 21152 31728 63456 550621 1101242 1651863 2202484 3303726 4404968 6607452 8809936 13214904 17619872 26429808 52859616 363960481 727920962 1091881443 1455841924 2183762886 2911683848 4367525772 5823367696 8735051544 11646735392 17470103088 34940206176