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663432 = 233711359
BaseRepresentation
bin10100001111110001000
31020201001120
42201332020
5132212212
622115240
75432130
oct2417610
91221046
10663432
114134a0
1227bb20
131a2c83
14133ac0
15d188c
hexa1f88

663432 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 171840.

The previous prime is 663409. The next prime is 663437. The reversal of 663432 is 234366.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (663437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2663432 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 663432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

663432 is an abundant number, since it is smaller than the sum of its proper divisors (1410168).

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

663432 is a wasteful number, since it uses less digits than its factorization.

663432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 663432 is about 814.5133516401. The cubic root of 663432 is about 87.2165302669.

Adding to 663432 its reverse (234366), we get a palindrome (897798).

It can be divided in two parts, 6634 and 32, that added together give a palindrome (6666).

The spelling of 663432 in words is "six hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 359 462 616 718 924 1077 1436 1848 2154 2513 2872 3949 4308 5026 7539 7898 8616 10052 11847 15078 15796 20104 23694 27643 30156 31592 47388 55286 60312 82929 94776 110572 165858 221144 331716 663432