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3353364 = 2232721901
BaseRepresentation
bin1100110010101100010100
320022100221200
430302230110
51324301424
6155512500
740334400
oct14625424
96270850
103353364
111990483
121158730
13905451
14634100
154638c9
hex332b14

3353364 has 54 divisors (see below), whose sum is σ = 9865674. Its totient is φ = 957600.

The previous prime is 3353359. The next prime is 3353381. The reversal of 3353364 is 4633533.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 1192464 = 1470^2 + 1092^2 .

It is a super-2 number, since 2×33533642 = 22490100232992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 814 + ... + 2714.

Almost surely, 23353364 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 3353364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932837).

3353364 is an abundant number, since it is smaller than the sum of its proper divisors (6512310).

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

3353364 is a wasteful number, since it uses less digits than its factorization.

3353364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 3353364 is about 1831.2192659537. The cubic root of 3353364 is about 149.6787792727.

Adding to 3353364 its reverse (4633533), we get a palindrome (7986897).

The spelling of 3353364 in words is "three million, three hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1901 3802 5703 7604 11406 13307 17109 22812 26614 34218 39921 53228 68436 79842 93149 119763 159684 186298 239526 279447 372596 479052 558894 838341 1117788 1676682 3353364