Search a number
-
+
34058333401 = 179210312
BaseRepresentation
bin11111101110000010…
…001110110011011001
310020220120202121012121
4133232002032303121
51024222413132101
623351324141241
72313666025441
oct375602166331
9106816677177
1034058333401
111349804aa84
126726097821
13329a0cc001
141911425121
15d450730a1
hex7ee08ecd9

34058333401 has 9 divisors (see below), whose sum is σ = 34282918453. Its totient is φ = 33835213660.

The previous prime is 34058333363. The next prime is 34058333411. The reversal of 34058333401 is 10433385043.

The square root of 34058333401 is 184549.

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

It is not a de Polignac number, because 34058333401 - 213 = 34058325209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34058333411) 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, 33033756 + ... + 33034786.

Almost surely, 234058333401 is an apocalyptic number.

34058333401 is the 184549-th square number.

34058333401 is the 92275-th centered octagonal number.

It is an amenable number.

34058333401 is a deficient number, since it is larger than the sum of its proper divisors (224585052).

34058333401 is an frugal number, since it uses more digits than its factorization.

34058333401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 34058333401 in words is "thirty-four billion, fifty-eight million, three hundred thirty-three thousand, four hundred one".

Divisors: 1 179 1031 32041 184549 1062961 33034271 190270019 34058333401