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4331664 = 243337271
BaseRepresentation
bin10000100001100010010000
322011001221000
4100201202100
52102103124
6232502000
751550521
oct20414220
98131830
104331664
112499497
12154a900
13b8881c
1480a848
155a86c9
hex421890

4331664 has 80 divisors (see below), whose sum is σ = 12816640. Its totient is φ = 1399680.

The previous prime is 4331653. The next prime is 4331683. The reversal of 4331664 is 4661334.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 15849 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (160208).

Almost surely, 24331664 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 4331664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408320).

4331664 is an abundant number, since it is smaller than the sum of its proper divisors (8484976).

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

4331664 is a wasteful number, since it uses less digits than its factorization.

4331664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4331664 is about 2081.2649999459. The cubic root of 4331664 is about 163.0115038238.

Adding to 4331664 its reverse (4661334), we get a palindrome (8992998).

The spelling of 4331664 in words is "four million, three hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 271 296 333 432 444 542 592 666 813 888 999 1084 1332 1626 1776 1998 2168 2439 2664 3252 3996 4336 4878 5328 6504 7317 7992 9756 10027 13008 14634 15984 19512 20054 29268 30081 39024 40108 58536 60162 80216 90243 117072 120324 160432 180486 240648 270729 360972 481296 541458 721944 1082916 1443888 2165832 4331664