Search a number
-
+
3342339 = 3272111353
BaseRepresentation
bin1100110000000000000011
320021210211100
430300000003
51323423324
6155345443
740260300
oct14600003
96253740
103342339
111983170
121152283
13900420
146300a7
154604c9
hex330003

3342339 has 72 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 1572480.

The previous prime is 3342331. The next prime is 3342341. The reversal of 3342339 is 9332433.

It is not a de Polignac number, because 3342339 - 23 = 3342331 is a prime.

It is a super-2 number, since 2×33423392 = 22342459981842, which contains 22 as substring.

3342339 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63037 + ... + 63089.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 23342339 is an apocalyptic number.

3342339 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3342339 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3342339 is a wasteful number, since it uses less digits than its factorization.

3342339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 3342339 is about 1828.2064981834. The cubic root of 3342339 is about 149.5145640409.

The spelling of 3342339 in words is "three million, three hundred forty-two thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 11 13 21 33 39 49 53 63 77 91 99 117 143 147 159 231 273 371 429 441 477 539 583 637 689 693 819 1001 1113 1287 1617 1749 1911 2067 2597 3003 3339 4081 4823 4851 5247 5733 6201 7007 7579 7791 9009 12243 14469 21021 22737 23373 28567 33761 36729 43407 53053 63063 68211 85701 101283 159159 257103 303849 371371 477477 1114113 3342339