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1323264 = 2831723
BaseRepresentation
bin101000011000100000000
32111020011210
411003010000
5314321024
644210120
714150625
oct5030400
92436153
101323264
11824208
12539940
133743c7
1426634c
151b2129
hex143100

1323264 has 36 divisors (see below), whose sum is σ = 3523856. Its totient is φ = 440832.

The previous prime is 1323253. The next prime is 1323281. The reversal of 1323264 is 4623231.

It is a happy number.

It is a super-2 number, since 2×13232642 = 3502055227392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1323264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 1629.

21323264 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 1323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761928).

1323264 is an abundant number, since it is smaller than the sum of its proper divisors (2200592).

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

1323264 is an equidigital number, since it uses as much as digits as its factorization.

1323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1728 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 1323264 is about 1150.3321259532. The cubic root of 1323264 is about 109.7864728310.

Adding to 1323264 its reverse (4623231), we get a palindrome (5946495).

The spelling of 1323264 in words is "one million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1723 3446 5169 6892 10338 13784 20676 27568 41352 55136 82704 110272 165408 220544 330816 441088 661632 1323264