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343350306 = 233133713219
BaseRepresentation
bin10100011101110…
…001110000100010
3212221002000002000
4110131301300202
51200344202211
654023104430
711336300205
oct2435616042
9787060060
10343350306
111668a3192
1296ba2116
1356198580
143385993c
1520223656
hex14771c22

343350306 has 64 divisors (see below), whose sum is σ = 843964800. Its totient is φ = 102783168.

The previous prime is 343350289. The next prime is 343350331. The reversal of 343350306 is 603053343.

343350306 is a `hidden beast` number, since 3 + 4 + 3 + 350 + 306 = 666.

It is a super-3 number, since 3×3433503063 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 343350306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19365 + ... + 32583.

It is an arithmetic number, because the mean of its divisors is an integer number (13186950).

Almost surely, 2343350306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343350306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421982400).

343350306 is an abundant number, since it is smaller than the sum of its proper divisors (500614494).

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

343350306 is a wasteful number, since it uses less digits than its factorization.

343350306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 343350306 is about 18529.7141370287. The cubic root of 343350306 is about 700.2382223209.

The spelling of 343350306 in words is "three hundred forty-three million, three hundred fifty thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1443 1998 2886 4329 8658 12987 13219 25974 26438 39657 79314 118971 171847 237942 343694 356913 489103 515541 713826 978206 1031082 1467309 1546623 2934618 3093246 4401927 4639869 6358339 8803854 9279738 12716678 13205781 19075017 26411562 38150034 57225051 114450102 171675153 343350306