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343214340 = 223572932789
BaseRepresentation
bin10100011101010…
…000100100000100
3212220211002120020
4110131100210010
51200330324330
654020135140
711335162620
oct2435204404
9786732506
10343214340
11166810017
1296b374b0
135614b711
1433822180
15201e8210
hex14750904

343214340 has 96 divisors (see below), whose sum is σ = 1102429440. Its totient is φ = 78153216.

The previous prime is 343214329. The next prime is 343214341. The reversal of 343214340 is 43412343.

It is a self number, because there is not a number n which added to its sum of digits gives 343214340.

It is not an unprimeable number, because it can be changed into a prime (343214341) 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, 121666 + ... + 124454.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2343214340 is an apocalyptic number.

343214340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551214720).

343214340 is an abundant number, since it is smaller than the sum of its proper divisors (759215100).

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

343214340 is a wasteful number, since it uses less digits than its factorization.

343214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3099 counting only the distinct ones).

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

The square root of 343214340 is about 18526.0449098020. The cubic root of 343214340 is about 700.1457791623.

Adding to 343214340 its reverse (43412343), we get a palindrome (386626683).

The spelling of 343214340 in words is "three hundred forty-three million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1172 1465 1758 2051 2789 2930 3516 4102 4395 5578 5860 6153 8204 8367 8790 10255 11156 12306 13945 16734 17580 19523 20510 24612 27890 30765 33468 39046 41020 41835 55780 58569 61530 78092 83670 97615 117138 123060 167340 195230 234276 292845 390460 585690 817177 1171380 1634354 2451531 3268708 4085885 4903062 5720239 8171770 9806124 11440478 12257655 16343540 17160717 22880956 24515310 28601195 34321434 49030620 57202390 68642868 85803585 114404780 171607170 343214340