Search a number
-
+
7114304 = 26891249
BaseRepresentation
bin11011001000111001000000
3111101102222202
4123020321000
53310124204
6412252332
7114320261
oct33107100
914342882
107114304
11401a09a
1224710a8
131621262
14d32968
15957e1e
hex6c8e40

7114304 has 28 divisors (see below), whose sum is σ = 14287500. Its totient is φ = 3514368.

The previous prime is 7114301. The next prime is 7114319. The reversal of 7114304 is 4034117.

7114304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2096704 + 5017600 = 1448^2 + 2240^2 .

It is a super-2 number, since 2×71143042 = 101226642808832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7114301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5072 + ... + 6320.

Almost surely, 27114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143750).

7114304 is an abundant number, since it is smaller than the sum of its proper divisors (7173196).

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

7114304 is a wasteful number, since it uses less digits than its factorization.

7114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 7114304 is about 2667.2652661481. The cubic root of 7114304 is about 192.3287192926.

The spelling of 7114304 in words is "seven million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1249 1424 2498 2848 4996 5696 9992 19984 39968 79936 111161 222322 444644 889288 1778576 3557152 7114304