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334200042 = 2321117432309
BaseRepresentation
bin10011111010110…
…111110011101010
3212021212010021100
4103322313303222
51141023400132
653055022230
711165440101
oct2372676352
9767763240
10334200042
11161713490
1293b0a976
1354313707
1432557038
151e51737c
hex13eb7cea

334200042 has 96 divisors (see below), whose sum is σ = 856215360. Its totient is φ = 93058560.

The previous prime is 334200037. The next prime is 334200049. The reversal of 334200042 is 240002433.

334200042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3342000422 = 223379336145603528, 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 = 334199988 and 334200024.

It is not an unprimeable number, because it can be changed into a prime (334200049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143584 + ... + 145892.

It is an arithmetic number, because the mean of its divisors is an integer number (8918910).

Almost surely, 2334200042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

334200042 is an abundant number, since it is smaller than the sum of its proper divisors (522015318).

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

334200042 is a wasteful number, since it uses less digits than its factorization.

334200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2385 counting only the distinct ones).

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

The square root of 334200042 is about 18281.1389688936. The cubic root of 334200042 is about 693.9616964855.

Adding to 334200042 its reverse (240002433), we get a palindrome (574202475).

The spelling of 334200042 in words is "three hundred thirty-four million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 43 51 66 86 99 102 129 153 187 198 258 306 374 387 473 561 731 774 946 1122 1419 1462 1683 2193 2309 2838 3366 4257 4386 4618 6579 6927 8041 8514 13158 13854 16082 20781 24123 25399 39253 41562 48246 50798 72369 76197 78506 99287 117759 144738 152394 198574 228591 235518 297861 353277 431783 457182 595722 706554 863566 893583 1092157 1295349 1687879 1787166 2184314 2590698 3276471 3375758 3886047 5063637 6552942 7772094 9829413 10127274 15190911 18566669 19658826 30381822 37133338 55700007 111400014 167100021 334200042