Search a number
-
+
335106924 = 2231711314537
BaseRepresentation
bin10011111110010…
…101001101101100
3212100120012021120
4103332111031230
51141241410144
653130300540
711206235055
oct2376251554
9770505246
10335106924
11162182879
1294287750
1354570429
143271172c
151e645e19
hex13f9536c

335106924 has 48 divisors (see below), whose sum is σ = 835295328. Its totient is φ = 104194048.

The previous prime is 335106887. The next prime is 335106949. The reversal of 335106924 is 429601533.

335106924 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 2×3351069242 = 224593301025483552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15784 + ... + 30320.

It is an arithmetic number, because the mean of its divisors is an integer number (17401986).

Almost surely, 2335106924 is an apocalyptic number.

335106924 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335106924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417647664).

335106924 is an abundant number, since it is smaller than the sum of its proper divisors (500188404).

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

335106924 is a wasteful number, since it uses less digits than its factorization.

335106924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14672 counting only the distinct ones).

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

The square root of 335106924 is about 18305.9259257761. The cubic root of 335106924 is about 694.5888388061.

The spelling of 335106924 in words is "three hundred thirty-five million, one hundred six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 5763 7684 11526 14537 23052 29074 43611 58148 87222 174444 247129 494258 741387 988516 1482774 1642681 2965548 3285362 4928043 6570724 9856086 19712172 27925577 55851154 83776731 111702308 167553462 335106924