Search a number
-
+
343520064 = 2632896701
BaseRepresentation
bin10100011110011…
…011001101000000
3212221101121221100
4110132123031000
51200420120224
654030454400
711340605136
oct2436331500
9787347840
10343520064
111669a9788
1297064400
1356227914
14338a1756
1520258ac9
hex1479b340

343520064 has 84 divisors (see below), whose sum is σ = 995850180. Its totient is φ = 113203200.

The previous prime is 343520059. The next prime is 343520069. The reversal of 343520064 is 460025343.

It is an interprime number because it is at equal distance from previous prime (343520059) and next prime (343520069).

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 243360000 = 10008^2 + 15600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343520069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47914 + ... + 54614.

Almost surely, 2343520064 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 343520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497925090).

343520064 is an abundant number, since it is smaller than the sum of its proper divisors (652330116).

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

343520064 is a wasteful number, since it uses less digits than its factorization.

343520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 343520064 is about 18534.2942676542. The cubic root of 343520064 is about 700.3536063790.

The spelling of 343520064 in words is "three hundred forty-three million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 1068 1424 1602 2136 2848 3204 4272 5696 6408 6701 8544 12816 13402 17088 20103 25632 26804 40206 51264 53608 60309 80412 107216 120618 160824 214432 241236 321648 428864 482472 596389 643296 964944 1192778 1286592 1789167 1929888 2385556 3578334 3859776 4771112 5367501 7156668 9542224 10735002 14313336 19084448 21470004 28626672 38168896 42940008 57253344 85880016 114506688 171760032 343520064