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334690020 = 2232572311549
BaseRepresentation
bin10011111100101…
…111011011100100
3212022210000101200
4103330233123210
51141140040040
653113322500
711202550440
oct2374573344
9768700350
10334690020
11161a18625
1294106430
1354455742
1432643820
151e5b2630
hex13f2f6e4

334690020 has 144 divisors (see below), whose sum is σ = 1210809600. Its totient is φ = 73168128.

The previous prime is 334690009. The next prime is 334690021. The reversal of 334690020 is 20096433.

It is a super-2 number, since 2×3346900202 = 224034818975200800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334690021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23206 + ... + 34754.

It is an arithmetic number, because the mean of its divisors is an integer number (8408400).

Almost surely, 2334690020 is an apocalyptic number.

334690020 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 334690020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

334690020 is an abundant number, since it is smaller than the sum of its proper divisors (876119580).

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

334690020 is a wasteful number, since it uses less digits than its factorization.

334690020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11594 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 334690020 is about 18294.5352496312. The cubic root of 334690020 is about 694.3006750247.

The spelling of 334690020 in words is "three hundred thirty-four million, six hundred ninety thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 11549 14490 23098 28980 34647 46196 57745 69294 80843 103941 115490 138588 161686 173235 207882 230980 242529 265627 323372 346470 404215 415764 485058 519705 531254 692940 727587 796881 808430 970116 1039410 1062508 1212645 1328135 1455174 1593762 1616860 1859389 2078820 2390643 2425290 2656270 2910348 3187524 3637935 3718778 3984405 4781286 4850580 5312540 5578167 7275870 7437556 7968810 9296945 9562572 11156334 11953215 14551740 15937620 16734501 18593890 22312668 23906430 27890835 33469002 37187780 47812860 55781670 66938004 83672505 111563340 167345010 334690020