Search a number
-
+
34361622401 = 211371943789
BaseRepresentation
bin100000000000000111…
…001011111110000001
310021200201110021111112
4200000013023332001
51030333033404101
623441400453105
72324340654101
oct400007137601
9107621407445
1034361622401
1113633270547
1267ab77a195
133317babb62
14193d813201
15d619d16bb
hex8001cbf81

34361622401 has 8 divisors (see below), whose sum is σ = 34534545600. Its totient is φ = 34188794640.

The previous prime is 34361622367. The next prime is 34361622431. The reversal of 34361622401 is 10422616343.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34361622401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34361622431) by changing a digit.

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, 762815 + ... + 806603.

It is an arithmetic number, because the mean of its divisors is an integer number (4316818200).

Almost surely, 234361622401 is an apocalyptic number.

It is an amenable number.

34361622401 is a deficient number, since it is larger than the sum of its proper divisors (172923199).

34361622401 is a wasteful number, since it uses less digits than its factorization.

34361622401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47719.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 34361622401 in words is "thirty-four billion, three hundred sixty-one million, six hundred twenty-two thousand, four hundred one".

Divisors: 1 211 3719 43789 784709 9239479 162851291 34361622401