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3288740 = 2257132139
BaseRepresentation
bin1100100010111010100100
320012002022012
430202322210
51320214430
6154253352
736645110
oct14427244
96162265
103288740
111946974
121127258
138b1c00
14618740
1544e695
hex322ea4

3288740 has 72 divisors (see below), whose sum is σ = 8608320. Its totient is φ = 1033344.

The previous prime is 3288737. The next prime is 3288751. The reversal of 3288740 is 478823.

3288740 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3288697 and 3288706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23591 + ... + 23729.

It is an arithmetic number, because the mean of its divisors is an integer number (119560).

Almost surely, 23288740 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 3288740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304160).

3288740 is an abundant number, since it is smaller than the sum of its proper divisors (5319580).

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

3288740 is a wasteful number, since it uses less digits than its factorization.

3288740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 3288740 is about 1813.4883512171. The cubic root of 3288740 is about 148.7110295011.

The spelling of 3288740 in words is "three million, two hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 139 140 169 182 260 278 338 364 455 556 676 695 845 910 973 1183 1390 1690 1807 1820 1946 2366 2780 3380 3614 3892 4732 4865 5915 7228 9035 9730 11830 12649 18070 19460 23491 23660 25298 36140 46982 50596 63245 93964 117455 126490 164437 234910 252980 328874 469820 657748 822185 1644370 3288740