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630032 = 24132233
BaseRepresentation
bin10011001110100010000
31012000020112
42121310100
5130130112
621300452
75232554
oct2316420
91160215
10630032
113a0397
12264728
13190a00
14125864
15c6a22
hex99d10

630032 has 30 divisors (see below), whose sum is σ = 1327482. Its totient is φ = 289536.

The previous prime is 630029. The next prime is 630043. The reversal of 630032 is 230036.

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 614656 = 124^2 + 784^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 629989 and 630016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2588 + ... + 2820.

2630032 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 630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663741).

630032 is an abundant number, since it is smaller than the sum of its proper divisors (697450).

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

630032 is a wasteful number, since it uses less digits than its factorization.

630032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 630032 is about 793.7455511686. The cubic root of 630032 is about 85.7276402473.

Adding to 630032 its reverse (230036), we get a palindrome (860068).

The spelling of 630032 in words is "six hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 233 338 466 676 932 1352 1864 2704 3029 3728 6058 12116 24232 39377 48464 78754 157508 315016 630032