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335080116 = 223273159727
BaseRepresentation
bin10011111110001…
…110101010110100
3212100111211111200
4103332032222310
51141240030431
653125532500
711206063650
oct2376165264
9770454450
10335080116
11162164718
1294274130
1354561177
1432705a60
151e63cee6
hex13f8eab4

335080116 has 144 divisors (see below), whose sum is σ = 1017569280. Its totient is φ = 90953280.

The previous prime is 335080099. The next prime is 335080121. The reversal of 335080116 is 611080533.

It is a super-2 number, since 2×3350801162 = 224557368277146912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335080116.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 460545 + ... + 461271.

Almost surely, 2335080116 is an apocalyptic number.

335080116 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 335080116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508784640).

335080116 is an abundant number, since it is smaller than the sum of its proper divisors (682489164).

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

335080116 is a wasteful number, since it uses less digits than its factorization.

335080116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 335080116 is about 18305.1936892238. The cubic root of 335080116 is about 694.5703163258.

The spelling of 335080116 in words is "three hundred thirty-five million, eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 59 62 63 84 93 118 124 126 177 186 217 236 252 279 354 372 413 434 531 558 651 708 727 826 868 1062 1116 1239 1302 1454 1652 1829 1953 2124 2181 2478 2604 2908 3658 3717 3906 4362 4956 5089 5487 6543 7316 7434 7812 8724 10178 10974 12803 13086 14868 15267 16461 20356 21948 22537 25606 26172 30534 32922 38409 42893 45074 45801 51212 61068 65844 67611 76818 85786 90148 91602 115227 128679 135222 153636 157759 171572 183204 202833 230454 257358 270444 300251 315518 386037 405666 460908 473277 514716 600502 631036 772074 811332 900753 946554 1201004 1329683 1419831 1544148 1801506 1893108 2659366 2702259 2839662 3603012 3989049 5318732 5404518 5679324 7978098 9307781 10809036 11967147 15956196 18615562 23934294 27923343 37231124 47868588 55846686 83770029 111693372 167540058 335080116