Search a number
-
+
34545056208 = 24313167331501
BaseRepresentation
bin100000001011000010…
…111011100111010000
310022011111121200101020
4200023002323213100
51031222013244313
623511512235440
72332026063405
oct401302734720
9108144550336
1034545056208
1113717869033
12684109bb80
133346bb5980
141959d222ac
15d72b67323
hex80b0bb9d0

34545056208 has 80 divisors (see below), whose sum is σ = 96681895296. Its totient is φ = 10565568000.

The previous prime is 34545056201. The next prime is 34545056219. The reversal of 34545056208 is 80265054543.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34545056208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34545056201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61543 + ... + 269958.

Almost surely, 234545056208 is an apocalyptic number.

It is an amenable number.

34545056208 is an abundant number, since it is smaller than the sum of its proper divisors (62136839088).

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

34545056208 is a wasteful number, since it uses less digits than its factorization.

34545056208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331692 (or 331686 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 34545056208 in words is "thirty-four billion, five hundred forty-five million, fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 501 624 668 1002 1336 2004 2171 2672 4008 4342 6513 8016 8684 13026 17368 26052 34736 52104 104208 331501 663002 994503 1326004 1989006 2652008 3978012 4309513 5304016 7956024 8619026 12928539 15912048 17238052 25857078 34476104 51714156 55360667 68952208 103428312 110721334 166082001 206856624 221442668 332164002 442885336 664328004 719688671 885770672 1328656008 1439377342 2159066013 2657312016 2878754684 4318132026 5757509368 8636264052 11515018736 17272528104 34545056208