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3243768 = 2331121117
BaseRepresentation
bin1100010111111011111000
320002210121120
430113323320
51312300033
6153305240
736400023
oct14277370
96083546
103243768
111916100
121105220
138975b8
146061ba
154411b3
hex317ef8

3243768 has 48 divisors (see below), whose sum is σ = 8921640. Its totient is φ = 982080.

The previous prime is 3243763. The next prime is 3243769. The reversal of 3243768 is 8673423.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346 + ... + 3462.

Almost surely, 23243768 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 3243768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460820).

3243768 is an abundant number, since it is smaller than the sum of its proper divisors (5677872).

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

3243768 is a wasteful number, since it uses less digits than its factorization.

3243768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3243768 is about 1801.0463625348. The cubic root of 3243768 is about 148.0300645035.

The spelling of 3243768 in words is "three million, two hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1117 1452 2234 2904 3351 4468 6702 8936 12287 13404 24574 26808 36861 49148 73722 98296 135157 147444 270314 294888 405471 540628 810942 1081256 1621884 3243768