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11304314 = 2737139157
BaseRepresentation
bin101011000111…
…110101111010
3210021022121022
4223013311322
510343214224
61042142442
7165041120
oct53076572
923238538
1011304314
11642110a
123951a22
13245a458
141703910
15ed465e
hexac7d7a

11304314 has 32 divisors (see below), whose sum is σ = 20173440. Its totient is φ = 4650048.

The previous prime is 11304311. The next prime is 11304329. The reversal of 11304314 is 41340311.

It is a super-3 number, since 3×113043143 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11304292 and 11304301.

It is not an unprimeable number, because it can be changed into a prime (11304311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71924 + ... + 72080.

It is an arithmetic number, because the mean of its divisors is an integer number (630420).

Almost surely, 211304314 is an apocalyptic number.

11304314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11304314 is a deficient number, since it is larger than the sum of its proper divisors (8869126).

11304314 is a wasteful number, since it uses less digits than its factorization.

11304314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 11304314 is about 3362.1888703641. The cubic root of 11304314 is about 224.4302556320.

Adding to 11304314 its reverse (41340311), we get a palindrome (52644625).

It can be divided in two parts, 11304 and 314, that multiplied together give a square (3549456 = 18842).

The spelling of 11304314 in words is "eleven million, three hundred four thousand, three hundred fourteen".

Divisors: 1 2 7 14 37 74 139 157 259 278 314 518 973 1099 1946 2198 5143 5809 10286 11618 21823 36001 40663 43646 72002 81326 152761 305522 807451 1614902 5652157 11304314