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334344330 = 232519238501
BaseRepresentation
bin10011111011011…
…011000010001010
3212022010110012100
4103323123002022
51141043004310
653102054230
711166610545
oct2373330212
9768113170
10334344330
11161801931
1293b7a376
13543642a8
143259385c
151e544ec0
hex13edb08a

334344330 has 96 divisors (see below), whose sum is σ = 954944640. Its totient is φ = 80784000.

The previous prime is 334344319. The next prime is 334344337. The reversal of 334344330 is 33443433.

It is a super-2 number, since 2×3343443302 = 223572262006297800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334344294 and 334344303.

It is not an unprimeable number, because it can be changed into a prime (334344337) 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, 35080 + ... + 43580.

It is an arithmetic number, because the mean of its divisors is an integer number (9947340).

Almost surely, 2334344330 is an apocalyptic number.

334344330 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 334344330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477472320).

334344330 is an abundant number, since it is smaller than the sum of its proper divisors (620600310).

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

334344330 is a wasteful number, since it uses less digits than its factorization.

334344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 334344330 is about 18285.0849054633. The cubic root of 334344330 is about 694.0615527851.

Adding to 334344330 its reverse (33443433), we get a palindrome (367787763).

The spelling of 334344330 in words is "three hundred thirty-four million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 414 437 570 690 855 874 1035 1311 1710 2070 2185 2622 3933 4370 6555 7866 8501 13110 17002 19665 25503 39330 42505 51006 76509 85010 127515 153018 161519 195523 255030 323038 382545 391046 484557 586569 765090 807595 969114 977615 1173138 1453671 1615190 1759707 1955230 2422785 2907342 2932845 3519414 3714937 4845570 5865690 7268355 7429874 8798535 11144811 14536710 17597070 18574685 22289622 33434433 37149370 55724055 66868866 111448110 167172165 334344330