Search a number
-
+
684232704 = 2123323269
BaseRepresentation
bin101000110010001…
…001000000000000
31202200111121211000
4220302021000000
52400130421304
6151521252000
722645611351
oct5062110000
91680447730
10684232704
11321260181
12171194000
13ab9ab72c
1466c31d28
154010a939
hex28c89000

684232704 has 208 divisors, whose sum is σ = 2123107200. Its totient is φ = 217350144.

The previous prime is 684232649. The next prime is 684232709. The reversal of 684232704 is 407232486.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684232709) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2543482 + ... + 2543750.

Almost surely, 2684232704 is an apocalyptic number.

684232704 is a gapful number since it is divisible by the number (64) 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 684232704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061553600).

684232704 is an abundant number, since it is smaller than the sum of its proper divisors (1438874496).

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

684232704 is a wasteful number, since it uses less digits than its factorization.

684232704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 684232704 is about 26157.8421128349. The cubic root of 684232704 is about 881.1867184980.

The spelling of 684232704 in words is "six hundred eighty-four million, two hundred thirty-two thousand, seven hundred four".