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335906130 = 235719292903
BaseRepresentation
bin10100000001011…
…000010101010010
3212102001210120210
4110001120111102
51141442444010
653155344550
711216104110
oct2401302522
9772053523
10335906130
1116267927a
12945b2156
1354790131
143287cab0
151e752b20
hex14058552

335906130 has 128 divisors (see below), whose sum is σ = 1003622400. Its totient is φ = 70205184.

The previous prime is 335906117. The next prime is 335906147. The reversal of 335906130 is 31609533.

335906130 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 2×3359061302 = 225665856343153800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114259 + ... + 117161.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2335906130 is an apocalyptic number.

335906130 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 335906130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501811200).

335906130 is an abundant number, since it is smaller than the sum of its proper divisors (667716270).

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

335906130 is a wasteful number, since it uses less digits than its factorization.

335906130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968.

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 335906130 is about 18327.7420867929. The cubic root of 335906130 is about 695.1405819511.

The spelling of 335906130 in words is "three hundred thirty-five million, nine hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 29 30 35 38 42 57 58 70 87 95 105 114 133 145 174 190 203 210 266 285 290 399 406 435 551 570 609 665 798 870 1015 1102 1218 1330 1653 1995 2030 2755 2903 3045 3306 3857 3990 5510 5806 6090 7714 8265 8709 11571 14515 16530 17418 19285 20321 23142 29030 38570 40642 43545 55157 57855 60963 84187 87090 101605 110314 115710 121926 165471 168374 203210 252561 275785 304815 330942 386099 420935 505122 551570 589309 609630 772198 827355 841870 1158297 1178618 1262805 1599553 1654710 1767927 1930495 2316594 2525610 2946545 3199106 3535854 3860990 4798659 5791485 5893090 7997765 8839635 9597318 11196871 11582970 15995530 17679270 22393742 23993295 33590613 47986590 55984355 67181226 111968710 167953065 335906130