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334452820 = 225131979857
BaseRepresentation
bin10011111011110…
…101100001010100
3212022022222000111
4103323311201110
51141104442240
653104252404
711200542052
oct2373654124
9768288014
10334452820
11161876399
1294011104
13543a17a0
14325c11d2
151e5671ea
hex13ef5854

334452820 has 96 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 115375104.

The previous prime is 334452809. The next prime is 334452841. The reversal of 334452820 is 28254433.

It is a super-2 number, since 2×3344528202 = 223717377611904800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389832 + ... + 390688.

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

Almost surely, 2334452820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334452820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403603200).

334452820 is an abundant number, since it is smaller than the sum of its proper divisors (472753580).

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

334452820 is a wasteful number, since it uses less digits than its factorization.

334452820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 334452820 is about 18288.0512903918. The cubic root of 334452820 is about 694.1366157148.

The spelling of 334452820 in words is "three hundred thirty-four million, four hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 79 95 130 158 190 247 260 316 380 395 494 790 857 988 1027 1235 1501 1580 1714 2054 2470 3002 3428 4108 4285 4940 5135 6004 7505 8570 10270 11141 15010 16283 17140 19513 20540 22282 30020 32566 39026 44564 55705 65132 67703 78052 81415 97565 111410 135406 162830 195130 211679 222820 270812 325660 338515 390260 423358 677030 846716 880139 1058395 1286357 1354060 1760278 2116790 2572714 3520556 4233580 4400695 5145428 6431785 8801390 12863570 16722641 17602780 25727140 33445282 66890564 83613205 167226410 334452820