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3368288 = 257111367
BaseRepresentation
bin1100110110010101100000
320100010102102
430312111200
51330241123
6200105532
740426040
oct14662540
96303372
103368288
1119a0710
1211652a8
1390c191
14639720
15468028
hex336560

3368288 has 48 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 1311360.

The previous prime is 3368269. The next prime is 3368297. The reversal of 3368288 is 8828633.

It is a super-2 number, since 2×33682882 = 22690728101888, 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 7 ways as a sum of consecutive naturals, for example, 1781 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 23368288 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 3368288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

3368288 is an abundant number, since it is smaller than the sum of its proper divisors (4905376).

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

3368288 is a wasteful number, since it uses less digits than its factorization.

3368288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3368288 is about 1835.2896229206. The cubic root of 3368288 is about 149.9004969719.

The spelling of 3368288 in words is "three million, three hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1367 2464 2734 5468 9569 10936 15037 19138 21872 30074 38276 43744 60148 76552 105259 120296 153104 210518 240592 306208 421036 481184 842072 1684144 3368288