Search a number
-
+
34468723056 = 243718098397
BaseRepresentation
bin100000000110011111…
…101111100101110000
310021222011222112222110
4200012133233211300
51031042443114211
623500144205320
72330111211645
oct400637574560
9107864875873
1034468723056
1113688771889
12681b609840
13333413a621
14194db31dcc
15d6b0d9ea6
hex8067ef970

34468723056 has 20 divisors (see below), whose sum is σ = 89044201352. Its totient is φ = 11489574336.

The previous prime is 34468723043. The next prime is 34468723067. The reversal of 34468723056 is 65032786443.

34468723056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344687230562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 718098397 = 34468723056 / (3 + 4 + 4 + 6 + 8 + 7 + 2 + 3 + 0 + 5 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 34468722996 and 34468723014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359049151 + ... + 359049246.

Almost surely, 234468723056 is an apocalyptic number.

It is an amenable number.

34468723056 is an abundant number, since it is smaller than the sum of its proper divisors (54575478296).

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

34468723056 is a wasteful number, since it uses less digits than its factorization.

34468723056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718098408 (or 718098402 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 34468723056 in words is "thirty-four billion, four hundred sixty-eight million, seven hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 718098397 1436196794 2154295191 2872393588 4308590382 5744787176 8617180764 11489574352 17234361528 34468723056