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336884130 = 233511313659
BaseRepresentation
bin10100000101000…
…111000110100010
3212110220111011000
4110011013012202
51142220243010
653232332430
711230316322
oct2405070642
9773814130
10336884130
11163187040
12949a4116
1354a4332b
1432a55282
151e8977c0
hex141471a2

336884130 has 128 divisors (see below), whose sum is σ = 1011916800. Its totient is φ = 79012800.

The previous prime is 336884113. The next prime is 336884131. The reversal of 336884130 is 31488633.

It is a happy number.

It is a super-2 number, since 2×3368841302 = 226981834091713800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336884131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90241 + ... + 93899.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2336884130 is an apocalyptic number.

336884130 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 336884130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505958400).

336884130 is an abundant number, since it is smaller than the sum of its proper divisors (675032670).

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

336884130 is a wasteful number, since it uses less digits than its factorization.

336884130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 336884130 is about 18354.4035588193. The cubic root of 336884130 is about 695.8145686152.

The spelling of 336884130 in words is "three hundred thirty-six million, eight hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 837 930 990 1023 1395 1485 1674 1705 2046 2790 2970 3069 3410 3659 4185 5115 6138 7318 8370 9207 10230 10977 15345 18295 18414 21954 30690 32931 36590 40249 46035 54885 65862 80498 92070 98793 109770 113429 120747 164655 197586 201245 226858 241494 329310 340287 362241 402490 493965 567145 603735 680574 724482 987930 1020861 1086723 1134290 1207470 1247719 1701435 1811205 2041722 2173446 2495438 3062583 3402870 3622410 3743157 5104305 5433615 6125166 6238595 7486314 10208610 10867230 11229471 12477190 15312915 18715785 22458942 30625830 33688413 37431570 56147355 67376826 112294710 168442065 336884130