Search a number
-
+
343824060 = 22356193941
BaseRepresentation
bin10100011111100…
…101011010111100
3212221222001221110
4110133211122330
51201004332220
654041202020
711343312336
oct2437453274
9787861843
10343824060
11167097118
1297190310
13563030b8
1433940456
15202b8be0
hex147e56bc

343824060 has 48 divisors (see below), whose sum is σ = 978499872. Its totient is φ = 90182400.

The previous prime is 343824053. The next prime is 343824113. The reversal of 343824060 is 60428343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43311 + ... + 50630.

It is an arithmetic number, because the mean of its divisors is an integer number (20385414).

Almost surely, 2343824060 is an apocalyptic number.

343824060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343824060 is an abundant number, since it is smaller than the sum of its proper divisors (634675812).

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

343824060 is a wasteful number, since it uses less digits than its factorization.

343824060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94014 (or 94012 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 343824060 is about 18542.4933598478. The cubic root of 343824060 is about 700.5601366957.

The spelling of 343824060 in words is "three hundred forty-three million, eight hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 93941 187882 281823 375764 469705 563646 939410 1127292 1409115 1878820 2818230 5636460 5730401 11460802 17191203 22921604 28652005 34382406 57304010 68764812 85956015 114608020 171912030 343824060