Search a number
-
+
334312220 = 225111979979
BaseRepresentation
bin10011111011010…
…011001100011100
3212022001211011002
4103323103030130
51141040442340
653101245432
711166415124
oct2373231434
9768054132
10334312220
1116178a7a0
1293b63878
13543527a8
1432585c84
151e53a715
hex13ed331c

334312220 has 48 divisors (see below), whose sum is σ = 806198400. Its totient is φ = 115168320.

The previous prime is 334312217. The next prime is 334312247. The reversal of 334312220 is 22213433.

334312220 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3343122202 = 223529320882656800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

334312220 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 334312192 and 334312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35810 + ... + 44169.

It is an arithmetic number, because the mean of its divisors is an integer number (16795800).

Almost surely, 2334312220 is an apocalyptic number.

It is an amenable number.

334312220 is an abundant number, since it is smaller than the sum of its proper divisors (471886180).

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

334312220 is a wasteful number, since it uses less digits than its factorization.

334312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80018 (or 80016 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 334312220 is about 18284.2068463469. The cubic root of 334312220 is about 694.0393331471.

Adding to 334312220 its reverse (22213433), we get a palindrome (356525653).

The spelling of 334312220 in words is "three hundred thirty-four million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 79979 159958 319916 399895 799790 879769 1519601 1599580 1759538 3039202 3519076 4398845 6078404 7598005 8797690 15196010 16715611 17595380 30392020 33431222 66862444 83578055 167156110 334312220