Search a number
-
+
335404264 = 231319269631
BaseRepresentation
bin10011111111011…
…101110011101000
3212101010022011011
4103333131303220
51141330414024
653140513304
711211613666
oct2377356350
9771108134
10335404264
11162366208
12943ab834
1354645880
143278bc36
151e6a4094
hex13fddce8

335404264 has 64 divisors (see below), whose sum is σ = 716688000. Its totient is φ = 145877760.

The previous prime is 335404261. The next prime is 335404309. The reversal of 335404264 is 462404533.

It is a super-2 number, since 2×3354042642 = 224992040618763392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335404261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531229 + ... + 531859.

It is an arithmetic number, because the mean of its divisors is an integer number (11198250).

Almost surely, 2335404264 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 335404264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358344000).

335404264 is an abundant number, since it is smaller than the sum of its proper divisors (381283736).

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

335404264 is a wasteful number, since it uses less digits than its factorization.

335404264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 335404264 is about 18314.0455388753. The cubic root of 335404264 is about 694.7942140424.

Adding to 335404264 its reverse (462404533), we get a palindrome (797808797).

The spelling of 335404264 in words is "three hundred thirty-five million, four hundred four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 269 494 538 631 988 1076 1262 1976 2152 2524 3497 5048 5111 6994 8203 10222 11989 13988 16406 20444 23978 27976 32812 40888 47956 65624 66443 95912 132886 155857 169739 265772 311714 339478 531544 623428 678956 1246856 1357912 2206607 3225041 4413214 6450082 8826428 12900164 17652856 25800328 41925533 83851066 167702132 335404264