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343452330 = 2325132312763
BaseRepresentation
bin10100011110001…
…010101010101010
3212221021012000200
4110132022222222
51200410433310
654025213030
711340203514
oct2436125252
9787235020
10343452330
11166962901
1297031176
1356202b40
1433884bb4
15202439c0
hex1478aaaa

343452330 has 96 divisors (see below), whose sum is σ = 1003556736. Its totient is φ = 80860032.

The previous prime is 343452299. The next prime is 343452337. The reversal of 343452330 is 33254343.

It is a happy number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 343452294 and 343452303.

It is not an unprimeable number, because it can be changed into a prime (343452337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20529 + ... + 33291.

It is an arithmetic number, because the mean of its divisors is an integer number (10453716).

Almost surely, 2343452330 is an apocalyptic number.

343452330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343452330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501778368).

343452330 is an abundant number, since it is smaller than the sum of its proper divisors (660104406).

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

343452330 is a wasteful number, since it uses less digits than its factorization.

343452330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 343452330 is about 18532.4669161987. The cubic root of 343452330 is about 700.3075723193.

The spelling of 343452330 in words is "three hundred forty-three million, four hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 12763 13455 25526 26910 38289 63815 76578 114867 127630 165919 191445 229734 293549 331838 382890 497757 574335 587098 829595 880647 995514 1148670 1467745 1493271 1659190 1761294 2488785 2641941 2935490 2986542 3816137 4403235 4977570 5283882 7466355 7632274 8806470 11448411 13209705 14932710 19080685 22896822 26419410 34345233 38161370 57242055 68690466 114484110 171726165 343452330