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335133540 = 223257237997
BaseRepresentation
bin10011111110011…
…011101101100100
3212100121112210100
4103332123231210
51141243233130
653131024100
711206405500
oct2376335544
9770545710
10335133540
111621a0875
129429b030
135457c591
143271b300
151e64dc60
hex13f9bb64

335133540 has 108 divisors (see below), whose sum is σ = 1182573756. Its totient is φ = 76599936.

The previous prime is 335133509. The next prime is 335133577. The reversal of 335133540 is 45331533.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 240188004 + 94945536 = 15498^2 + 9744^2 .

It is a super-2 number, since 2×3351335402 = 224628979265863200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10179 + ... + 27818.

It is an arithmetic number, because the mean of its divisors is an integer number (10949757).

Almost surely, 2335133540 is an apocalyptic number.

335133540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

335133540 is an abundant number, since it is smaller than the sum of its proper divisors (847440216).

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

335133540 is a wasteful number, since it uses less digits than its factorization.

335133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38026 (or 38014 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 335133540 is about 18306.6528890456. The cubic root of 335133540 is about 694.6072276503.

The spelling of 335133540 in words is "three hundred thirty-five million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 37997 75994 113991 151988 189985 227982 265979 341973 379970 455964 531958 569955 683946 759940 797937 1063916 1139910 1329895 1367892 1595874 1709865 1861853 2279820 2393811 2659790 3191748 3419730 3723706 3989685 4787622 5319580 5585559 6839460 7447412 7979370 9309265 9575244 11171118 11969055 15958740 16756677 18618530 22342236 23938110 27927795 33513354 37237060 47876220 55855590 67026708 83783385 111711180 167566770 335133540