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3343400 = 235273229
BaseRepresentation
bin1100110000010000101000
320021212021122
430300100220
51323442100
6155354412
740263344
oct14602050
96255248
103343400
111983a45
121152a08
13900a58
14630624
15460985
hex330428

3343400 has 48 divisors (see below), whose sum is σ = 7914300. Its totient is φ = 1313280.

The previous prime is 3343397. The next prime is 3343409. The reversal of 3343400 is 43433.

3343400 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 6 ways, for example, as 2172676 + 1170724 = 1474^2 + 1082^2 .

It is a super-2 number, since 2×33434002 = 22356647120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3343409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14486 + ... + 14714.

Almost surely, 23343400 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 3343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957150).

3343400 is an abundant number, since it is smaller than the sum of its proper divisors (4570900).

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

3343400 is a wasteful number, since it uses less digits than its factorization.

3343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 3343400 is about 1828.4966502567. The cubic root of 3343400 is about 149.5303831194.

Adding to 3343400 its reverse (43433), we get a palindrome (3386833).

The spelling of 3343400 in words is "three million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 229 292 365 458 584 730 916 1145 1460 1825 1832 2290 2920 3650 4580 5725 7300 9160 11450 14600 16717 22900 33434 45800 66868 83585 133736 167170 334340 417925 668680 835850 1671700 3343400