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4382328 = 2331723467
BaseRepresentation
bin10000101101111001111000
322020122102110
4100231321320
52110213303
6233532320
752151316
oct20557170
98218373
104382328
112523565
1215740a0
13ba58c2
148210b6
155b8703
hex42de78

4382328 has 64 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 1312256.

The previous prime is 4382309. The next prime is 4382359. The reversal of 4382328 is 8232834.

4382328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (9216) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 4382295 and 4382304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9151 + ... + 9617.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 24382328 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 4382328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

4382328 is an abundant number, since it is smaller than the sum of its proper divisors (7748232).

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

4382328 is a wasteful number, since it uses less digits than its factorization.

4382328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4382328 is about 2093.4010604755. The cubic root of 4382328 is about 163.6445802833.

The spelling of 4382328 in words is "four million, three hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 467 552 782 934 1173 1401 1564 1868 2346 2802 3128 3736 4692 5604 7939 9384 10741 11208 15878 21482 23817 31756 32223 42964 47634 63512 64446 85928 95268 128892 182597 190536 257784 365194 547791 730388 1095582 1460776 2191164 4382328