Search a number
-
+
3330640 = 245173179
BaseRepresentation
bin1100101101001001010000
320021012210001
430231021100
51323040030
6155215344
740211215
oct14551120
96235701
103330640
1119753a5
121147554
138c7cc1
14629b0c
1545bcca
hex32d250

3330640 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1198080.

The previous prime is 3330617. The next prime is 3330641. The reversal of 3330640 is 460333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33306402 = 22186325619200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330641) 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, 42121 + ... + 42199.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 23330640 is an apocalyptic number.

3330640 is the 1054-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3330640 is an abundant number, since it is smaller than the sum of its proper divisors (5240240).

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

3330640 is a wasteful number, since it uses less digits than its factorization.

3330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3330640 is about 1825.0041095844. The cubic root of 3330640 is about 149.3399143217.

Adding to 3330640 its reverse (460333), we get a palindrome (3790973).

The spelling of 3330640 in words is "three million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 79 80 85 124 136 155 158 170 248 272 310 316 340 395 496 527 620 632 680 790 1054 1240 1264 1343 1360 1580 2108 2449 2480 2635 2686 3160 4216 4898 5270 5372 6320 6715 8432 9796 10540 10744 12245 13430 19592 21080 21488 24490 26860 39184 41633 42160 48980 53720 83266 97960 107440 166532 195920 208165 333064 416330 666128 832660 1665320 3330640