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335713290 = 235112234021
BaseRepresentation
bin10100000000101…
…001010000001010
3212101201000001120
4110000221100022
51141420311130
653151300110
711214341643
oct2400512012
9771630046
10335713290
11162557400
129451a636
1354723423
143282c6ca
151e715910
hex1402940a

335713290 has 96 divisors (see below), whose sum is σ = 924352128. Its totient is φ = 77827200.

The previous prime is 335713283. The next prime is 335713303. The reversal of 335713290 is 92317533.

It is a super-2 number, since 2×3357132902 = 225406826165248200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81480 + ... + 85500.

It is an arithmetic number, because the mean of its divisors is an integer number (9628668).

Almost surely, 2335713290 is an apocalyptic number.

335713290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 335713290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462176064).

335713290 is an abundant number, since it is smaller than the sum of its proper divisors (588638838).

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

335713290 is a wasteful number, since it uses less digits than its factorization.

335713290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 335713290 is about 18322.4804543490. The cubic root of 335713290 is about 695.0075323097.

The spelling of 335713290 in words is "three hundred thirty-five million, seven hundred thirteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 121 138 165 230 242 253 330 345 363 506 605 690 726 759 1210 1265 1518 1815 2530 2783 3630 3795 4021 5566 7590 8042 8349 12063 13915 16698 20105 24126 27830 40210 41745 44231 60315 83490 88462 92483 120630 132693 184966 221155 265386 277449 442310 462415 486541 554898 663465 924830 973082 1017313 1326930 1387245 1459623 2034626 2432705 2774490 2919246 3051939 4865410 5086565 6103878 7298115 10173130 11190443 14596230 15259695 22380886 30519390 33571329 55952215 67142658 111904430 167856645 335713290