Search a number
-
+
690384 = 24319757
BaseRepresentation
bin10101000100011010000
31022002000210
42220203100
5134043014
622444120
75603532
oct2504320
91262023
10690384
11431772
12293640
131b2316
1413d852
15d9859
hexa88d0

690384 has 40 divisors (see below), whose sum is σ = 1879840. Its totient is φ = 217728.

The previous prime is 690377. The next prime is 690397. The reversal of 690384 is 483096.

It is a super-4 number, since 4×6903844 (a number of 24 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

690384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 534 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (46996).

2690384 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 690384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939920).

690384 is an abundant number, since it is smaller than the sum of its proper divisors (1189456).

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

690384 is a wasteful number, since it uses less digits than its factorization.

690384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 690384 is about 830.8934949800. The cubic root of 690384 is about 88.3819486356.

The spelling of 690384 in words is "six hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 757 912 1514 2271 3028 4542 6056 9084 12112 14383 18168 28766 36336 43149 57532 86298 115064 172596 230128 345192 690384