Search a number
-
+
335024208 = 24331136863
BaseRepresentation
bin10011111110000…
…001000001010000
3212100101222211000
4103332001001100
51141231233313
653124422000
711205441651
oct2376010120
9770358730
10335024208
11162126712
1294247900
135454189c
14326cd528
151e62b673
hex13f81050

335024208 has 80 divisors (see below), whose sum is σ = 970295040. Its totient is φ = 110670336.

The previous prime is 335024203. The next prime is 335024231. The reversal of 335024208 is 802420533.

335024208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3350242082 = 224482439892054528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335024201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45385 + ... + 52247.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2335024208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335024208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485147520).

335024208 is an abundant number, since it is smaller than the sum of its proper divisors (635270832).

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

335024208 is a wasteful number, since it uses less digits than its factorization.

335024208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 335024208 is about 18303.6665179412. Note that the first 3 decimals coincide. The cubic root of 335024208 is about 694.5316845725.

The spelling of 335024208 in words is "three hundred thirty-five million, twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 6863 8136 12204 13726 16272 20589 24408 27452 41178 48816 54904 61767 82356 109808 123534 164712 185301 247068 329424 370602 494136 741204 775519 988272 1482408 1551038 2326557 2964816 3102076 4653114 6204152 6979671 9306228 12408304 13959342 18612456 20939013 27918684 37224912 41878026 55837368 83756052 111674736 167512104 335024208