Search a number
-
+
34014026628 = 2233314944691
BaseRepresentation
bin11111101011011001…
…001101101110000100
310020210111101120202000
4133223121031232010
51024130042323003
623343102345300
72312620312251
oct375331155604
9106714346660
1034014026628
111347503870a
12671328b230
133290b8809a
1419095b0428
15d412201a3
hex7eb64db84

34014026628 has 24 divisors (see below), whose sum is σ = 88184513760. Its totient is φ = 11338008840.

The previous prime is 34014026561. The next prime is 34014026633. The reversal of 34014026628 is 82662041043.

34014026628 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 0 + 26 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34014026592 and 34014026601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157472238 + ... + 157472453.

It is an arithmetic number, because the mean of its divisors is an integer number (3674354740).

Almost surely, 234014026628 is an apocalyptic number.

It is an amenable number.

34014026628 is an abundant number, since it is smaller than the sum of its proper divisors (54170487132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34014026628 is a wasteful number, since it uses less digits than its factorization.

34014026628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314944704 (or 314944696 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34014026628 in words is "thirty-four billion, fourteen million, twenty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 314944691 629889382 944834073 1259778764 1889668146 2834502219 3779336292 5669004438 8503506657 11338008876 17007013314 34014026628