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343031052 = 223713535927
BaseRepresentation
bin10100011100100…
…011110100001100
3212220110210010210
4110130203310030
51200303443202
654012202420
711333500350
oct2434436414
9786423123
10343031052
111666a5341
1296a69410
13560b6170
14337b5460
15201adc6c
hex14723d0c

343031052 has 96 divisors (see below), whose sum is σ = 1003871232. Its totient is φ = 88747776.

The previous prime is 343031021. The next prime is 343031069. The reversal of 343031052 is 250130343.

343031052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 54913 + ... + 60839.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2343031052 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 343031052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

343031052 is an abundant number, since it is smaller than the sum of its proper divisors (660840180).

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

343031052 is a wasteful number, since it uses less digits than its factorization.

343031052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 343031052 is about 18521.0974836806. The cubic root of 343031052 is about 700.0211231721.

Adding to 343031052 its reverse (250130343), we get a palindrome (593161395).

The spelling of 343031052 in words is "three hundred forty-three million, thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1092 1113 1378 1484 2067 2226 2756 4134 4452 4823 5927 8268 9646 11854 14469 17781 19292 23708 28938 35562 41489 57876 71124 77051 82978 124467 154102 165956 231153 248934 308204 314131 462306 497868 539357 628262 924612 942393 1078714 1256524 1618071 1884786 2157428 2198917 3236142 3769572 4083703 4397834 6472284 6596751 8167406 8795668 12251109 13193502 16334812 24502218 26387004 28585921 49004436 57171842 85757763 114343684 171515526 343031052