Search a number
-
+
695438304 = 2531121923137
BaseRepresentation
bin101001011100111…
…000101111100000
31210110120221000020
4221130320233200
52411013011204
6153001353440
723143061631
oct5134705740
91713527006
10695438304
11327614100
12174a98880
13b1102c72
146850b888
15410c0bd9
hex29738be0

695438304 has 288 divisors, whose sum is σ = 2220099840. Its totient is φ = 189573120.

The previous prime is 695438291. The next prime is 695438309. The reversal of 695438304 is 403834596.

695438304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (695438309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5076124 + ... + 5076260.

It is an arithmetic number, because the mean of its divisors is an integer number (7708680).

Almost surely, 2695438304 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 695438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110049920).

695438304 is an abundant number, since it is smaller than the sum of its proper divisors (1524661536).

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

695438304 is a wasteful number, since it uses less digits than its factorization.

695438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 695438304 is about 26371.1642518869. The cubic root of 695438304 is about 885.9710596291.

The spelling of 695438304 in words is "six hundred ninety-five million, four hundred thirty-eight thousand, three hundred four".