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335141052 = 223294183283
BaseRepresentation
bin10011111110011…
…101100010111100
3212100121221002120
4103332131202330
51141244003202
653131122540
711206436421
oct2376354274
9770557076
10335141052
111621a6484
12942a3450
1354582b1c
143271dd48
151e6510bc
hex13f9d8bc

335141052 has 96 divisors (see below), whose sum is σ = 841639680. Its totient is φ = 103595520.

The previous prime is 335141047. The next prime is 335141069. The reversal of 335141052 is 250141533.

It is a super-2 number, since 2×3351410522 = 224639049471333408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184103 + ... + 1184385.

It is an arithmetic number, because the mean of its divisors is an integer number (8767080).

Almost surely, 2335141052 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 335141052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420819840).

335141052 is an abundant number, since it is smaller than the sum of its proper divisors (506498628).

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

335141052 is a wasteful number, since it uses less digits than its factorization.

335141052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 335141052 is about 18306.8580592083. The cubic root of 335141052 is about 694.6124174726.

Adding to 335141052 its reverse (250141533), we get a palindrome (585282585).

The spelling of 335141052 in words is "three hundred thirty-five million, one hundred forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 83 87 116 123 164 166 174 246 249 283 332 348 492 498 566 849 996 1132 1189 1698 2378 2407 3396 3403 3567 4756 4814 6806 7134 7221 8207 9628 10209 11603 13612 14268 14442 16414 20418 23206 23489 24621 28884 32828 34809 40836 46412 46978 49242 69618 70467 93956 98484 98687 139236 140934 197374 281868 296061 336487 394748 592122 672974 681181 963049 1009461 1184244 1345948 1362362 1926098 2018922 2043543 2724724 2889147 3852196 4037844 4087086 5778294 8174172 11556588 27928421 55856842 83785263 111713684 167570526 335141052