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343212324 = 223713674691
BaseRepresentation
bin10100011101010…
…000000100100100
3212220210222210120
4110131100010210
51200330243244
654020121540
711335154010
oct2435200444
9786728716
10343212324
11166809554
1296b362b0
135614a820
1433821540
15201e7819
hex14750124

343212324 has 96 divisors (see below), whose sum is σ = 1000559616. Its totient is φ = 89147520.

The previous prime is 343212323. The next prime is 343212329. The reversal of 343212324 is 423212343.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 343212294 and 343212303.

It is not an unprimeable number, because it can be changed into a prime (343212323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70819 + ... + 75509.

It is an arithmetic number, because the mean of its divisors is an integer number (10422496).

Almost surely, 2343212324 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 343212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500279808).

343212324 is an abundant number, since it is smaller than the sum of its proper divisors (657347292).

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

343212324 is a wasteful number, since it uses less digits than its factorization.

343212324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4783 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 343212324 is about 18525.9904998356. The cubic root of 343212324 is about 700.1444083021.

Adding to 343212324 its reverse (423212343), we get a palindrome (766424667).

The spelling of 343212324 in words is "three hundred forty-three million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 402 469 546 804 871 938 1092 1407 1742 1876 2613 2814 3484 4691 5226 5628 6097 9382 10452 12194 14073 18291 18764 24388 28146 32837 36582 56292 60983 65674 73164 98511 121966 131348 182949 197022 243932 314297 365898 394044 426881 628594 731796 853762 942891 1257188 1280643 1707524 1885782 2200079 2561286 3771564 4085861 4400158 5122572 6600237 8171722 8800316 12257583 13200474 16343444 24515166 26400948 28601027 49030332 57202054 85803081 114404108 171606162 343212324