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4397328 = 24361329
BaseRepresentation
bin10000110001100100010000
322021102000000
4100301210100
52111203303
6234130000
752243125
oct20614420
98242000
104397328
112533861
121580900
13bac690
1482674c
155bcda3
hex431910

4397328 has 140 divisors (see below), whose sum is σ = 14230860. Its totient is φ = 1306368.

The previous prime is 4397311. The next prime is 4397353. The reversal of 4397328 is 8237934.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 2985984 = 1188^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4397292 and 4397301.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 151618 + ... + 151646.

It is an arithmetic number, because the mean of its divisors is an integer number (101649).

Almost surely, 24397328 is an apocalyptic number.

4397328 is a gapful number since it is divisible by the number (48) 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 4397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115430).

4397328 is an abundant number, since it is smaller than the sum of its proper divisors (9833532).

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

4397328 is a wasteful number, since it uses less digits than its factorization.

4397328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4397328 is about 2096.9806866063. The cubic root of 4397328 is about 163.8310773059.

Subtracting 4397328 from its reverse (8237934), we obtain a triangular number (3840606 = T2771).

The spelling of 4397328 in words is "four million, three hundred ninety-seven thousand, three hundred twenty-eight".