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34206400424 = 237739826561
BaseRepresentation
bin11111110110110111…
…000011111110101000
310021021220101011222102
4133312313003332220
51030023314303144
623414133512532
72320444414640
oct376667037650
9107256334872
1034206400424
1113563691a19
1267677a2748
1332c19a2131
141926d69520
15d5306eb4e
hex7f6dc3fa8

34206400424 has 32 divisors (see below), whose sum is σ = 73398705600. Its totient is φ = 14640030720.

The previous prime is 34206400387. The next prime is 34206400447. The reversal of 34206400424 is 42400460243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371897 + ... + 454664.

It is an arithmetic number, because the mean of its divisors is an integer number (2293709550).

Almost surely, 234206400424 is an apocalyptic number.

It is an amenable number.

34206400424 is an abundant number, since it is smaller than the sum of its proper divisors (39192305176).

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

34206400424 is a wasteful number, since it uses less digits than its factorization.

34206400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827313 (or 827309 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34206400424 its reverse (42400460243), we get a palindrome (76606860667).

The spelling of 34206400424 in words is "thirty-four billion, two hundred six million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 739 1478 2956 5173 5912 10346 20692 41384 826561 1653122 3306244 5785927 6612488 11571854 23143708 46287416 610828579 1221657158 2443314316 4275800053 4886628632 8551600106 17103200212 34206400424