Search a number
-
+
34021392993 = 3274113171271
BaseRepresentation
bin11111101011110101…
…010100001001100001
310020211000020211111100
4133223311110021201
51024133434033433
623343524305013
72313040032450
oct375365241141
9106730224440
1034021392993
111347920a115
126715842169
133292566c93
14190a56ab97
15d41bc7b13
hex7ebd54261

34021392993 has 24 divisors (see below), whose sum is σ = 57532116096. Its totient is φ = 18966628800.

The previous prime is 34021392991. The next prime is 34021393019. The reversal of 34021392993 is 39929312043.

34021392993 is a `hidden beast` number, since 3 + 402 + 139 + 29 + 93 = 666.

It is not a de Polignac number, because 34021392993 - 21 = 34021392991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34021392991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6583053 + ... + 6588218.

It is an arithmetic number, because the mean of its divisors is an integer number (2397171504).

Almost surely, 234021392993 is an apocalyptic number.

It is an amenable number.

34021392993 is a deficient number, since it is larger than the sum of its proper divisors (23510723103).

34021392993 is a wasteful number, since it uses less digits than its factorization.

34021392993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171325 (or 13171322 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 34021392993 in words is "thirty-four billion, twenty-one million, three hundred ninety-two thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 13171271 39513813 92198897 118541439 276596691 540022111 829790073 1620066333 3780154777 4860198999 11340464331 34021392993