Search a number
-
+
34506160968 = 23311437125711
BaseRepresentation
bin100000001000101110…
…100011101101001000
310022001210102121010210
4200020232203231020
51031132034122333
623504002441120
72331044346246
oct401056435510
9108053377123
1034506160968
11136a7912504
1268300631a0
13333bb17c36
141954ab9796
15d6e532a63
hex808ba3b48

34506160968 has 32 divisors (see below), whose sum is σ = 86273631360. Its totient is φ = 11500956480.

The previous prime is 34506160967. The next prime is 34506161021. The reversal of 34506160968 is 86906160543.

It is not an unprimeable number, because it can be changed into a prime (34506160963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211633 + ... + 337343.

It is an arithmetic number, because the mean of its divisors is an integer number (2696050980).

Almost surely, 234506160968 is an apocalyptic number.

It is an amenable number.

34506160968 is an abundant number, since it is smaller than the sum of its proper divisors (51767470392).

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

34506160968 is a wasteful number, since it uses less digits than its factorization.

34506160968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137157 (or 137153 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 34506160968 in words is "thirty-four billion, five hundred six million, one hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 11437 22874 34311 45748 68622 91496 125711 137244 251422 274488 377133 502844 754266 1005688 1508532 3017064 1437756707 2875513414 4313270121 5751026828 8626540242 11502053656 17253080484 34506160968