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335068020 = 223257431617
BaseRepresentation
bin10011111110001…
…011101101110100
3212100111012220200
4103332023231310
51141234134040
653125400500
711206013460
oct2376135564
9770435820
10335068020
11162156621
1294269130
1354558801
14327014a0
151e639630
hex13f8bb74

335068020 has 144 divisors (see below), whose sum is σ = 1166151168. Its totient is φ = 76285440.

The previous prime is 335068003. The next prime is 335068033. The reversal of 335068020 is 20860533.

335068020 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 2×3350680202 = 224541156053440800, 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 47 ways as a sum of consecutive naturals, for example, 542752 + ... + 543368.

It is an arithmetic number, because the mean of its divisors is an integer number (8098272).

Almost surely, 2335068020 is an apocalyptic number.

335068020 is a gapful number since it is divisible by the number (30) 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 335068020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583075584).

335068020 is an abundant number, since it is smaller than the sum of its proper divisors (831083148).

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

335068020 is a wasteful number, since it uses less digits than its factorization.

335068020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 335068020 is about 18304.8632882084. The cubic root of 335068020 is about 694.5619585001.

The spelling of 335068020 in words is "three hundred thirty-five million, sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 431 617 630 862 1234 1260 1293 1724 1851 2155 2468 2586 3017 3085 3702 3879 4310 4319 5172 5553 6034 6170 6465 7404 7758 8620 8638 9051 9255 11106 12068 12340 12930 12957 15085 15516 17276 18102 18510 19395 21595 22212 25860 25914 27153 27765 30170 36204 37020 38790 38871 43190 45255 51828 54306 55530 60340 64785 77580 77742 86380 90510 108612 111060 129570 135765 155484 181020 194355 259140 265927 271530 388710 531854 543060 777420 797781 1063708 1329635 1595562 1861489 2393343 2659270 3191124 3722978 3988905 4786686 5318540 5584467 7445956 7977810 9307445 9573372 11168934 11966715 15955620 16753401 18614890 22337868 23933430 27922335 33506802 37229780 47866860 55844670 67013604 83767005 111689340 167534010 335068020