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343404252 = 223319374523
BaseRepresentation
bin10100011101111…
…110111011011100
3212221011202002000
4110131332323130
51200402414002
654024202300
711336613402
oct2435767334
9787152060
10343404252
1116692a774
1297009390
13561b6ca9
1433871472
152023461c
hex1477eedc

343404252 has 96 divisors (see below), whose sum is σ = 962707200. Its totient is φ = 105489216.

The previous prime is 343404239. The next prime is 343404263. The reversal of 343404252 is 252404343.

343404252 is a `hidden beast` number, since 3 + 4 + 3 + 404 + 252 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73663 + ... + 78185.

It is an arithmetic number, because the mean of its divisors is an integer number (10028200).

Almost surely, 2343404252 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 343404252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481353600).

343404252 is an abundant number, since it is smaller than the sum of its proper divisors (619302948).

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

343404252 is a wasteful number, since it uses less digits than its factorization.

343404252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 343404252 is about 18531.1697418161. The cubic root of 343404252 is about 700.2748933944.

Adding to 343404252 its reverse (252404343), we get a palindrome (595808595).

Subtracting from 343404252 its reverse (252404343), we obtain a palindrome (90999909).

The spelling of 343404252 in words is "three hundred forty-three million, four hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 171 222 228 333 342 444 513 666 684 703 999 1026 1332 1406 1998 2052 2109 2812 3996 4218 4523 6327 8436 9046 12654 13569 18092 18981 25308 27138 37962 40707 54276 75924 81414 85937 122121 162828 167351 171874 244242 257811 334702 343748 488484 502053 515622 669404 773433 1004106 1031244 1506159 1546866 2008212 2320299 3012318 3093732 3179669 4518477 4640598 6024636 6359338 9036954 9281196 9539007 12718676 18073908 19078014 28617021 38156028 57234042 85851063 114468084 171702126 343404252