Search a number
-
+
34476263307 = 331737380917
BaseRepresentation
bin100000000110111100…
…100000011110001011
310021222201011122021000
4200012330200132023
51031101410411212
623501013550043
72330232255123
oct400674403613
9107881148230
1034476263307
1113691a519a2
126822045323
13333587a705
141950b35c83
15d6bac91dc
hex806f2078b

34476263307 has 16 divisors (see below), whose sum is σ = 51371189280. Its totient is φ = 22851315936.

The previous prime is 34476263273. The next prime is 34476263323. The reversal of 34476263307 is 70336267443.

34476263307 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 6 + 2 + 633 + 0 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-34476263307 is a prime.

It is a super-2 number, since 2×344762633072 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34476263357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685788 + ... + 3695129.

It is an arithmetic number, because the mean of its divisors is an integer number (3210699330).

Almost surely, 234476263307 is an apocalyptic number.

34476263307 is a deficient number, since it is larger than the sum of its proper divisors (16894925973).

34476263307 is a wasteful number, since it uses less digits than its factorization.

34476263307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381099 (or 7381093 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 34476263307 in words is "thirty-four billion, four hundred seventy-six million, two hundred sixty-three thousand, three hundred seven".

Divisors: 1 3 9 27 173 519 1557 4671 7380917 22142751 66428253 199284759 1276898641 3830695923 11492087769 34476263307