Search a number
-
+
34306635330 = 23251134653167
BaseRepresentation
bin11111111100110101…
…011011011001000010
310021112212222122102100
4133330311123121002
51030224444312310
623432114131230
72323102405662
oct377465333102
9107485878370
1034306635330
1113605223990
126795280b16
133309698826
1419363bc1a2
15d5bc6dec0
hex7fcd5b642

34306635330 has 48 divisors (see below), whose sum is σ = 97306095744. Its totient is φ = 8316759840.

The previous prime is 34306635299. The next prime is 34306635331. The reversal of 34306635330 is 3353660343.

34306635330 is a `hidden beast` number, since 34 + 30 + 6 + 63 + 533 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34306635331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17325594 + ... + 17327573.

It is an arithmetic number, because the mean of its divisors is an integer number (2027210328).

Almost surely, 234306635330 is an apocalyptic number.

34306635330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34306635330 is an abundant number, since it is smaller than the sum of its proper divisors (62999460414).

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

34306635330 is a wasteful number, since it uses less digits than its factorization.

34306635330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34653191 (or 34653188 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

The spelling of 34306635330 in words is "thirty-four billion, three hundred six million, six hundred thirty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 34653167 69306334 103959501 173265835 207919002 311878503 346531670 381184837 519797505 623757006 762369674 1039595010 1143554511 1559392515 1905924185 2287109022 3118785030 3430663533 3811848370 5717772555 6861327066 11435545110 17153317665 34306635330