Search a number
-
+
214310349 = 321110321017
BaseRepresentation
bin11001100011000…
…01110111001101
3112221021002112100
430301201313031
5414330412344
633133225313
75211415341
oct1461416715
9487232470
10214310349
11aaa775a0
125b932239
1335527a76
1420669621
1513c34569
hexcc61dcd

214310349 has 24 divisors (see below), whose sum is σ = 340996032. Its totient is φ = 128617920.

The previous prime is 214310311. The next prime is 214310351. The reversal of 214310349 is 943013412.

214310349 is a `hidden beast` number, since 2 + 1 + 4 + 310 + 349 = 666.

It is not a de Polignac number, because 214310349 - 27 = 214310221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214310249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312 + ... + 20705.

It is an arithmetic number, because the mean of its divisors is an integer number (14208168).

Almost surely, 2214310349 is an apocalyptic number.

It is an amenable number.

214310349 is a deficient number, since it is larger than the sum of its proper divisors (126685683).

214310349 is a wasteful number, since it uses less digits than its factorization.

214310349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 214310349 is about 14639.3425057275. The cubic root of 214310349 is about 598.4314111218.

The spelling of 214310349 in words is "two hundred fourteen million, three hundred ten thousand, three hundred forty-nine".

Divisors: 1 3 9 11 33 99 103 309 927 1133 3399 10197 21017 63051 189153 231187 693561 2080683 2164751 6494253 19482759 23812261 71436783 214310349