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334443040 = 25517122957
BaseRepresentation
bin10011111011110…
…011001000100000
3212022022110121021
4103323303020200
51141104134130
653104135224
711200501411
oct2373631040
9768273537
10334443040
1116186a008
1294007514
135439a1b9
14325bb808
151e56437a
hex13ef3220

334443040 has 48 divisors (see below), whose sum is σ = 836606232. Its totient is φ = 125906944.

The previous prime is 334443013. The next prime is 334443061. The reversal of 334443040 is 40344433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 334304656 + 138384 = 18284^2 + 372^2 .

It is a super-2 number, since 2×3344430402 = 223704294008883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334442996 and 334443014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58759 + ... + 64198.

Almost surely, 2334443040 is an apocalyptic number.

It is an amenable number.

334443040 is an abundant number, since it is smaller than the sum of its proper divisors (502163192).

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

334443040 is a wasteful number, since it uses less digits than its factorization.

334443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122989 (or 122981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 334443040 is about 18287.7839007355. The cubic root of 334443040 is about 694.1298497159.

Adding to 334443040 its reverse (40344433), we get a palindrome (374787473).

The spelling of 334443040 in words is "three hundred thirty-four million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 122957 245914 491828 614785 983656 1229570 1967312 2090269 2459140 3934624 4180538 4918280 8361076 9836560 10451345 16722152 19673120 20902690 33444304 41805380 66888608 83610760 167221520 334443040