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3314200 = 235273227
BaseRepresentation
bin1100101001001000011000
320020101020011
430221020120
51322023300
6155011304
740112251
oct14511030
96211204
103314200
11196400a
121139b34
138c0686
14623b28
15456eba
hex329218

3314200 has 48 divisors (see below), whose sum is σ = 7845480. Its totient is φ = 1301760.

The previous prime is 3314173. The next prime is 3314203. The reversal of 3314200 is 24133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14487 + ... + 14713.

Almost surely, 23314200 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 3314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922740).

3314200 is an abundant number, since it is smaller than the sum of its proper divisors (4531280).

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

3314200 is a wasteful number, since it uses less digits than its factorization.

3314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3314200 is about 1820.4944383326. The cubic root of 3314200 is about 149.0937955744.

Adding to 3314200 its reverse (24133), we get a palindrome (3338333).

The spelling of 3314200 in words is "three million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 227 292 365 454 584 730 908 1135 1460 1816 1825 2270 2920 3650 4540 5675 7300 9080 11350 14600 16571 22700 33142 45400 66284 82855 132568 165710 331420 414275 662840 828550 1657100 3314200