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3314024 = 237233183
BaseRepresentation
bin1100101001000101101000
320020100222122
430221011220
51322022044
6155010412
740111610
oct14510550
96210878
103314024
11196396a
121139a08
138c057c
14623a40
15456dee
hex329168

3314024 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1298880.

The previous prime is 3314009. The next prime is 3314027. The reversal of 3314024 is 4204133.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3313993 and 3314011.

It is not an unprimeable number, because it can be changed into a prime (3314027) 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, 39887 + ... + 39969.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 23314024 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 3314024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3314024 is an abundant number, since it is smaller than the sum of its proper divisors (4427416).

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

3314024 is a wasteful number, since it uses less digits than its factorization.

3314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3314024 is about 1820.4460991746. The cubic root of 3314024 is about 149.0911563279.

Adding to 3314024 its reverse (4204133), we get a palindrome (7518157).

The spelling of 3314024 in words is "three million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 83 92 124 161 166 184 217 248 322 332 434 581 644 664 713 868 1162 1288 1426 1736 1909 2324 2573 2852 3818 4648 4991 5146 5704 7636 9982 10292 13363 15272 18011 19964 20584 26726 36022 39928 53452 59179 72044 106904 118358 144088 236716 414253 473432 828506 1657012 3314024