Search a number
-
+
34550386758 = 2332753232409
BaseRepresentation
bin100000001011010111…
…010001000001000110
310022011212122111112000
4200023113101001012
51031224344334013
623512222410130
72332122304356
oct401327210106
9108155574460
1034550386758
111371a879a48
126842a30946
133348031044
14195a90cb66
15d7336b973
hex80b5d1046

34550386758 has 32 divisors (see below), whose sum is σ = 76806856800. Its totient is φ = 11512562688.

The previous prime is 34550386757. The next prime is 34550386789. The reversal of 34550386758 is 85768305543.

34550386758 is a `hidden beast` number, since 3 + 4 + 5 + 503 + 86 + 7 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34550386757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32458 + ... + 264866.

It is an arithmetic number, because the mean of its divisors is an integer number (2400214275).

Almost surely, 234550386758 is an apocalyptic number.

34550386758 is an abundant number, since it is smaller than the sum of its proper divisors (42256470042).

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

34550386758 is a wasteful number, since it uses less digits than its factorization.

34550386758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235173 (or 235167 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 34550386758 in words is "thirty-four billion, five hundred fifty million, three hundred eighty-six thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 2753 5506 8259 16518 24777 49554 74331 148662 232409 464818 697227 1394454 2091681 4183362 6275043 12550086 639821977 1279643954 1919465931 3838931862 5758397793 11516795586 17275193379 34550386758