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3238740 = 2232519947
BaseRepresentation
bin1100010110101101010100
320002112201100
430112231110
51312114430
6153230100
736346251
oct14265524
96075640
103238740
11191234a
121102330
1389521b
14604428
1543e960
hex316b54

3238740 has 72 divisors (see below), whose sum is σ = 10352160. Its totient is φ = 817344.

The previous prime is 3238727. The next prime is 3238751. The reversal of 3238740 is 478323.

3238740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (143780).

Almost surely, 23238740 is an apocalyptic number.

3238740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176080).

3238740 is an abundant number, since it is smaller than the sum of its proper divisors (7113420).

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

3238740 is a wasteful number, since it uses less digits than its factorization.

3238740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3238740 is about 1799.6499659656. The cubic root of 3238740 is about 147.9535403233.

The spelling of 3238740 in words is "three million, two hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 947 1140 1710 1894 2841 3420 3788 4735 5682 8523 9470 11364 14205 17046 17993 18940 28410 34092 35986 42615 53979 56820 71972 85230 89965 107958 161937 170460 179930 215916 269895 323874 359860 539790 647748 809685 1079580 1619370 3238740