Search a number
-
+
214034928 = 2437016361
BaseRepresentation
bin11001100000111…
…10100111110000
3112220202002201120
430300132213300
5414243104203
633123302240
75206160352
oct1460364760
9486662646
10214034928
11aa8a9678
125b81a980
133545c5b3
14205d70d2
1513bccb53
hexcc1e9f0

214034928 has 40 divisors (see below), whose sum is σ = 553799376. Its totient is φ = 71232000.

The previous prime is 214034921. The next prime is 214034939. The reversal of 214034928 is 829430412.

214034928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214034921) 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, 30468 + ... + 36828.

Almost surely, 2214034928 is an apocalyptic number.

It is an amenable number.

214034928 is an abundant number, since it is smaller than the sum of its proper divisors (339764448).

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

214034928 is a wasteful number, since it uses less digits than its factorization.

214034928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 214034928 is about 14629.9326040826. The cubic root of 214034928 is about 598.1749431299.

The spelling of 214034928 in words is "two hundred fourteen million, thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 701 1402 2103 2804 4206 5608 6361 8412 11216 12722 16824 19083 25444 33648 38166 50888 76332 101776 152664 305328 4459061 8918122 13377183 17836244 26754366 35672488 53508732 71344976 107017464 214034928