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34040619001 = 172108532
BaseRepresentation
bin11111101100111110…
…101001111111111001
310020212100102121121201
4133230332221333321
51024203344302001
623345452334201
72313362326114
oct375476517771
9106770377551
1034040619001
1113489050984
126720174361
13329653900c
14190cd3357b
15d43724501
hex7ecfa9ff9

34040619001 has 9 divisors (see below), whose sum is σ = 36164128141. Its totient is φ = 32035277632.

The previous prime is 34040618993. The next prime is 34040619017. The reversal of 34040619001 is 10091604043.

The square root of 34040619001 is 184501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3660129001 + 30380490000 = 60499^2 + 174300^2 .

It is not a de Polignac number, because 34040619001 - 23 = 34040618993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34040619031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3131091 + ... + 3141943.

Almost surely, 234040619001 is an apocalyptic number.

34040619001 is the 184501-st square number.

34040619001 is the 92251-st centered octagonal number.

It is an amenable number.

34040619001 is a deficient number, since it is larger than the sum of its proper divisors (2123509140).

34040619001 is an frugal number, since it uses more digits than its factorization.

34040619001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21740 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 34040619001 in words is "thirty-four billion, forty million, six hundred nineteen thousand, one".

Divisors: 1 17 289 10853 184501 3136517 117787609 2002389353 34040619001