Search a number
-
+
9323264 = 2879461
BaseRepresentation
bin100011100100…
…001100000000
3122112200010002
4203210030000
54341321024
6531455132
7142150346
oct43441400
918480102
109323264
115298785
1231574a8
131c15832
141349996
15c426ae
hex8e4300

9323264 has 36 divisors (see below), whose sum is σ = 18886560. Its totient is φ = 4592640.

The previous prime is 9323263. The next prime is 9323267. The reversal of 9323264 is 4623239.

It is a super-2 number, since 2×93232642 = 173846503227392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9323263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19994 + ... + 20454.

Almost surely, 29323264 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 9323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443280).

9323264 is an abundant number, since it is smaller than the sum of its proper divisors (9563296).

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

9323264 is an equidigital number, since it uses as much as digits as its factorization.

9323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 9323264 is about 3053.4020370727. The cubic root of 9323264 is about 210.4695765692.

The spelling of 9323264 in words is "nine million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 461 632 922 1264 1844 2528 3688 5056 7376 10112 14752 20224 29504 36419 59008 72838 118016 145676 291352 582704 1165408 2330816 4661632 9323264