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334404630 = 23257796719
BaseRepresentation
bin10011111011101…
…001110000010110
3212022020111220200
4103323221300112
51141101422010
653103241330
711200251420
oct2373516026
9768214820
10334404630
1116184316a
1293ba9246
1354385881
14325ab810
151e557cc0
hex13ee9c16

334404630 has 96 divisors (see below), whose sum is σ = 1006387200. Its totient is φ = 75456576.

The previous prime is 334404619. The next prime is 334404643. The reversal of 334404630 is 36404433.

It is a super-2 number, since 2×3344046302 = 223652913130873800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334404594 and 334404603.

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, 46411 + ... + 53129.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2334404630 is an apocalyptic number.

334404630 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 334404630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

334404630 is an abundant number, since it is smaller than the sum of its proper divisors (671982570).

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

334404630 is a wasteful number, since it uses less digits than its factorization.

334404630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 334404630 is about 18286.7337160030. The cubic root of 334404630 is about 694.1032756359.

The spelling of 334404630 in words is "three hundred thirty-four million, four hundred four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 630 711 790 1106 1185 1422 1659 2370 2765 3318 3555 4977 5530 6719 7110 8295 9954 13438 16590 20157 24885 33595 40314 47033 49770 60471 67190 94066 100785 120942 141099 201570 235165 282198 302355 423297 470330 530801 604710 705495 846594 1061602 1410990 1592403 2116485 2654005 3184806 3715607 4232970 4777209 5308010 7431214 7962015 9554418 11146821 15924030 18578035 22293642 23886045 33440463 37156070 47772090 55734105 66880926 111468210 167202315 334404630