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3342320 = 245411019
BaseRepresentation
bin1100101111111111110000
320021210210122
430233333300
51323423240
6155345412
740260242
oct14577760
96253718
103342320
111983153
121152268
13900407
14630092
154604b5
hex32fff0

3342320 has 40 divisors (see below), whose sum is σ = 7968240. Its totient is φ = 1303040.

The previous prime is 3342307. The next prime is 3342323. The reversal of 3342320 is 232433.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33423202 = 22342205964800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2771 + ... + 3789.

It is an arithmetic number, because the mean of its divisors is an integer number (199206).

Almost surely, 23342320 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 3342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120).

3342320 is an abundant number, since it is smaller than the sum of its proper divisors (4625920).

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

3342320 is a wasteful number, since it uses less digits than its factorization.

3342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1067 counting only the distinct ones).

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

The square root of 3342320 is about 1828.2013018265. The cubic root of 3342320 is about 149.5142807281.

Adding to 3342320 its reverse (232433), we get a palindrome (3574753).

The spelling of 3342320 in words is "three million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1019 1640 2038 3280 4076 5095 8152 10190 16304 20380 40760 41779 81520 83558 167116 208895 334232 417790 668464 835580 1671160 3342320