Search a number
-
+
335016924 = 2231122911083
BaseRepresentation
bin10011111101111…
…111001111011100
3212100101121211020
4103331333033130
51141231020144
653124324140
711205411504
oct2375771734
9770347736
10335016924
111621211a0
1294243650
135453b488
14326caa04
151e629419
hex13f7f3dc

335016924 has 48 divisors (see below), whose sum is σ = 856571520. Its totient is φ = 101067840.

The previous prime is 335016901. The next prime is 335016931. The reversal of 335016924 is 429610533.

It is a super-2 number, since 2×3350169242 = 224472678732843552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24687 + ... + 35769.

It is an arithmetic number, because the mean of its divisors is an integer number (17845240).

Almost surely, 2335016924 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 335016924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428285760).

335016924 is an abundant number, since it is smaller than the sum of its proper divisors (521554596).

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

335016924 is a wasteful number, since it uses less digits than its factorization.

335016924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 335016924 is about 18303.4675403324. The cubic root of 335016924 is about 694.5266511000.

The spelling of 335016924 in words is "three hundred thirty-five million, sixteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 1374 2519 2748 5038 7557 10076 11083 15114 22166 30228 33249 44332 66498 121913 132996 243826 365739 487652 731478 1462956 2538007 5076014 7614021 10152028 15228042 27918077 30456084 55836154 83754231 111672308 167508462 335016924