Search a number
-
+
343823064 = 233132103823
BaseRepresentation
bin10100011111100…
…101001011011000
3212221222000120120
4110133211023120
51201004314224
654041153240
711343306414
oct2437451330
9787860516
10343823064
111670963a2
129718b820
1356302800
143393dd44
15202b8779
hex147e52d8

343823064 has 96 divisors (see below), whose sum is σ = 940942080. Its totient is φ = 104637312.

The previous prime is 343823057. The next prime is 343823071. The reversal of 343823064 is 460328343.

It is an interprime number because it is at equal distance from previous prime (343823057) and next prime (343823071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417357 + ... + 418179.

It is an arithmetic number, because the mean of its divisors is an integer number (9801480).

Almost surely, 2343823064 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 343823064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470471040).

343823064 is an abundant number, since it is smaller than the sum of its proper divisors (597119016).

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

343823064 is a wasteful number, since it uses less digits than its factorization.

343823064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 343823064 is about 18542.4665025988. The cubic root of 343823064 is about 700.5594602271.

The spelling of 343823064 in words is "three hundred forty-three million, eight hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 169 206 309 312 338 412 507 618 676 823 824 1014 1236 1339 1352 1646 2028 2469 2472 2678 3292 4017 4056 4938 5356 6584 8034 9876 10699 10712 16068 17407 19752 21398 32097 32136 34814 42796 52221 64194 69628 84769 85592 104442 128388 139087 139256 169538 208884 254307 256776 278174 339076 417261 417768 508614 556348 678152 834522 1017228 1101997 1112696 1669044 2034456 2203994 3305991 3338088 4407988 6611982 8815976 13223964 14325961 26447928 28651922 42977883 57303844 85955766 114607688 171911532 343823064