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334204020 = 2232517149733
BaseRepresentation
bin10011111010111…
…000110001110100
3212021212022201200
4103322320301310
51141024012040
653055052500
711165454513
oct2372706164
9767768650
10334204020
11161716477
1293b11130
1354315477
143255867a
151e518630
hex13eb8c74

334204020 has 144 divisors (see below), whose sum is σ = 1082062800. Its totient is φ = 83202048.

The previous prime is 334204019. The next prime is 334204043. The reversal of 334204020 is 20402433.

It can be written as a sum of positive squares in 8 ways, for example, as 10419984 + 323784036 = 3228^2 + 17994^2 .

It is a super-2 number, since 2×3342040202 = 223384653968320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 334203984 and 334204002.

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, 455574 + ... + 456306.

It is an arithmetic number, because the mean of its divisors is an integer number (7514325).

Almost surely, 2334204020 is an apocalyptic number.

334204020 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 334204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541031400).

334204020 is an abundant number, since it is smaller than the sum of its proper divisors (747858780).

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

334204020 is a wasteful number, since it uses less digits than its factorization.

334204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 334204020 is about 18281.2477692306. The cubic root of 334204020 is about 693.9644498949.

Adding to 334204020 its reverse (20402433), we get a palindrome (354606453).

The spelling of 334204020 in words is "three hundred thirty-four million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 149 153 170 180 204 255 298 306 340 447 510 596 612 733 745 765 894 1020 1341 1466 1490 1530 1788 2199 2235 2533 2682 2932 2980 3060 3665 4398 4470 5066 5364 6597 6705 7330 7599 8796 8940 10132 10995 12461 12665 13194 13410 14660 15198 21990 22797 24922 25330 26388 26820 30396 32985 37383 37995 43980 45594 49844 50660 62305 65970 74766 75990 91188 109217 112149 113985 124610 131940 149532 151980 186915 218434 224298 227970 249220 327651 373830 436868 448596 455940 546085 560745 655302 747660 982953 1092170 1121490 1310604 1638255 1856689 1965906 2184340 2242980 3276510 3713378 3931812 4914765 5570067 6553020 7426756 9283445 9829530 11140134 16710201 18566890 19659060 22280268 27850335 33420402 37133780 55700670 66840804 83551005 111401340 167102010 334204020