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335394096 = 24323461659
BaseRepresentation
bin10011111111011…
…011010100110000
3212101002210012120
4103333123110300
51141330102341
653140354240
711211542232
oct2377332460
9771083176
10335394096
11162359604
12943a5980
135464105b
1432788252
151e6a1066
hex13fdb530

335394096 has 80 divisors (see below), whose sum is σ = 907441920. Its totient is φ = 106543360.

The previous prime is 335394091. The next prime is 335394107. The reversal of 335394096 is 690493533.

335394096 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 2×3353940962 = 224978399263314432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335394091) by changing a digit.

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, 508615 + ... + 509273.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2335394096 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 335394096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

335394096 is an abundant number, since it is smaller than the sum of its proper divisors (572047824).

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

335394096 is a wasteful number, since it uses less digits than its factorization.

335394096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The square root of 335394096 is about 18313.7679356270. The cubic root of 335394096 is about 694.7871929241.

The spelling of 335394096 in words is "three hundred thirty-five million, three hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 461 552 659 922 1104 1318 1383 1844 1977 2636 2766 3688 3954 5272 5532 7376 7908 10544 10603 11064 15157 15816 21206 22128 30314 31632 31809 42412 45471 60628 63618 84824 90942 121256 127236 169648 181884 242512 254472 303799 363768 508944 607598 727536 911397 1215196 1822794 2430392 3645588 4860784 6987377 7291176 13974754 14582352 20962131 27949508 41924262 55899016 83848524 111798032 167697048 335394096