Search a number
-
+
34192900401 = 3113373307189
BaseRepresentation
bin11111110110000011…
…100100000100110001
310021020221222022102120
4133312003210010301
51030011340303101
623412532304453
72320221600162
oct376603440461
9107227868376
1034192900401
1113557001180
126763172129
1332bbc5645a
141925253769
15d51ca4b36
hex7f60e4131

34192900401 has 16 divisors (see below), whose sum is σ = 49750034880. Its totient is φ = 20716758720.

The previous prime is 34192900387. The next prime is 34192900429. The reversal of 34192900401 is 10400929143.

It is not a de Polignac number, because 34192900401 - 25 = 34192900369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34192900201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42286 + ... + 264903.

It is an arithmetic number, because the mean of its divisors is an integer number (3109377180).

Almost surely, 234192900401 is an apocalyptic number.

It is an amenable number.

34192900401 is a deficient number, since it is larger than the sum of its proper divisors (15557134479).

34192900401 is a wasteful number, since it uses less digits than its factorization.

34192900401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310576.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 34192900401 in words is "thirty-four billion, one hundred ninety-two million, nine hundred thousand, four hundred one".

Divisors: 1 3 11 33 3373 10119 37103 111309 307189 921567 3379079 10137237 1036148497 3108445491 11397633467 34192900401