Search a number
-
+
214420304 = 2473161757
BaseRepresentation
bin11001100011111…
…00101101010000
3112221110200100202
430301330231100
5414342422204
633135434332
75212354040
oct1461745520
9487420322
10214420304
1110004216a
125b9859a8
1335565b27
1420697720
1513c56e1e
hexcc7cb50

214420304 has 40 divisors (see below), whose sum is σ = 490111488. Its totient is φ = 88928640.

The previous prime is 214420279. The next prime is 214420309. The reversal of 214420304 is 403024412.

214420304 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2144203043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214420309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27407 + ... + 34350.

Almost surely, 2214420304 is an apocalyptic number.

It is an amenable number.

214420304 is an abundant number, since it is smaller than the sum of its proper divisors (275691184).

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

214420304 is a wasteful number, since it uses less digits than its factorization.

214420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61803 (or 61797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214420304 is about 14643.0974865293. The cubic root of 214420304 is about 598.5337382314.

Adding to 214420304 its reverse (403024412), we get a palindrome (617444716).

The spelling of 214420304 in words is "two hundred fourteen million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 61757 123514 247028 432299 494056 864598 988112 1729196 1914467 3458392 3828934 6916784 7657868 13401269 15315736 26802538 30631472 53605076 107210152 214420304