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335309796 = 223219225801
BaseRepresentation
bin10011111111000…
…110101111100100
3212100221111120100
4103333012233210
51141314403141
653134504100
711211041403
oct2377065744
9770844510
10335309796
11162301238
1294365030
1354611883
143276563a
151e6860b6
hex13fc6be4

335309796 has 54 divisors (see below), whose sum is σ = 894581142. Its totient is φ = 105883200.

The previous prime is 335309789. The next prime is 335309809. The reversal of 335309796 is 697903533.

335309796 is a `hidden beast` number, since 335 + 309 + 7 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288524196 + 46785600 = 16986^2 + 6840^2 .

It is a super-2 number, since 2×3353097962 = 224865318587123232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96 + ... + 25896.

Almost surely, 2335309796 is an apocalyptic number.

335309796 is a gapful number since it is divisible by the number (36) 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 335309796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447290571).

335309796 is an abundant number, since it is smaller than the sum of its proper divisors (559271346).

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

335309796 is a wasteful number, since it uses less digits than its factorization.

335309796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25849 (or 25825 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 335309796 is about 18311.4662438593. The cubic root of 335309796 is about 694.7289773613.

The spelling of 335309796 in words is "three hundred thirty-five million, three hundred nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 25801 51602 77403 103204 154806 232209 309612 464418 490219 928836 980438 1470657 1960876 2941314 4411971 5882628 8823942 9314161 17647884 18628322 27942483 37256644 55884966 83827449 111769932 167654898 335309796