Search a number
-
+
330085035 = 32577114759
BaseRepresentation
bin10011101011001…
…011001010101011
3212000010001112200
4103223023022223
51134000210120
652430511243
711115451020
oct2353131253
9760101480
10330085035
1115a362855
1292665523
13535026b7
1431ba5547
151dea2e90
hex13acb2ab

330085035 has 48 divisors (see below), whose sum is σ = 663137280. Its totient is φ = 148760640.

The previous prime is 330085033. The next prime is 330085079. The reversal of 330085035 is 530580033.

It is not a de Polignac number, because 330085035 - 21 = 330085033 is a prime.

It is a super-2 number, since 2×3300850352 = 217912260661902450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330085031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14986 + ... + 29744.

It is an arithmetic number, because the mean of its divisors is an integer number (13815360).

Almost surely, 2330085035 is an apocalyptic number.

330085035 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

330085035 is an abundant number, since it is smaller than the sum of its proper divisors (333052245).

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

330085035 is a wasteful number, since it uses less digits than its factorization.

330085035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 330085035 is about 18168.2424851718. The cubic root of 330085035 is about 691.1016742509.

The spelling of 330085035 in words is "three hundred thirty million, eighty-five thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 2485 3195 4473 7455 14759 22365 44277 73795 103313 132831 221385 309939 516565 664155 929817 1047889 1549695 3143667 4649085 5239445 7335223 9431001 15718335 22005669 36676115 47155005 66017007 110028345 330085035