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3343248 = 243371109
BaseRepresentation
bin1100110000001110010000
320021212002000
430300032100
51323440443
6155354000
740263036
oct14601620
96255060
103343248
111983917
121152900
1390096c
14630556
154608d3
hex330390

3343248 has 80 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 1088640.

The previous prime is 3343247. The next prime is 3343261. The reversal of 3343248 is 8423433.

3343248 is a `hidden beast` number, since 334 + 324 + 8 = 666.

It is a super-2 number, since 2×33432482 = 22354614379008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3343243) 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, 30618 + ... + 30726.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 23343248 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 3343248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

3343248 is an abundant number, since it is smaller than the sum of its proper divisors (6477552).

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

3343248 is a wasteful number, since it uses less digits than its factorization.

3343248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3343248 is about 1828.4550855845. The cubic root of 3343248 is about 149.5281170667.

It can be divided in two parts, 33432 and 48, that multiplied together give a triangular number (1604736 = T1791).

The spelling of 3343248 in words is "three million, three hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 109 142 144 213 216 218 284 327 426 432 436 568 639 654 852 872 981 1136 1278 1308 1704 1744 1917 1962 2556 2616 2943 3408 3834 3924 5112 5232 5886 7668 7739 7848 10224 11772 15336 15478 15696 23217 23544 30672 30956 46434 47088 61912 69651 92868 123824 139302 185736 208953 278604 371472 417906 557208 835812 1114416 1671624 3343248