Search a number
-
+
3268746 = 2321361229
BaseRepresentation
bin1100011110000010001010
320011001212200
430132002022
51314044441
6154021030
736532605
oct14360212
96131780
103268746
111932948
121117776
138a5a90
1461133c
154487b6
hex31e08a

3268746 has 48 divisors (see below), whose sum is σ = 7785960. Its totient is φ = 984960.

The previous prime is 3268739. The next prime is 3268753. The reversal of 3268746 is 6478623.

It is an interprime number because it is at equal distance from previous prime (3268739) and next prime (3268753).

It can be written as a sum of positive squares in 4 ways, for example, as 2134521 + 1134225 = 1461^2 + 1065^2 .

It is a d-powerful number, because it can be written as 36 + 211 + 64 + 87 + 76 + 410 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 3268746.

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, 14160 + ... + 14388.

Almost surely, 23268746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3268746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892980).

3268746 is an abundant number, since it is smaller than the sum of its proper divisors (4517214).

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

3268746 is a wasteful number, since it uses less digits than its factorization.

3268746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 308 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3268746 is about 1807.9673669621. The cubic root of 3268746 is about 148.4090522252.

The spelling of 3268746 in words is "three million, two hundred sixty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 229 234 366 458 549 687 793 1098 1374 1586 2061 2379 2977 4122 4758 5954 7137 8931 13969 14274 17862 26793 27938 41907 53586 83814 125721 181597 251442 363194 544791 1089582 1634373 3268746