Search a number
-
+
704538240 = 27357193189
BaseRepresentation
bin101001111111100…
…110011010000000
31211002201020202220
4221333212122000
52420330210430
6153524411040
723313322230
oct5177463200
91732636686
10704538240
1133176a00a
12177b46a80
13b2c6ac43
14697d9cc0
1541cbc110
hex29fe6680

704538240 has 512 divisors, whose sum is σ = 2820096000. Its totient is φ = 145981440.

The previous prime is 704538217. The next prime is 704538253. The reversal of 704538240 is 42835407.

704538240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7916116 + ... + 7916204.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2704538240 is an apocalyptic number.

704538240 is a gapful number since it is divisible by the number (70) 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 704538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

704538240 is an abundant number, since it is smaller than the sum of its proper divisors (2115557760).

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

704538240 is a wasteful number, since it uses less digits than its factorization.

704538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 704538240 is about 26543.1392265497. The cubic root of 704538240 is about 889.8186896578.

The spelling of 704538240 in words is "seven hundred four million, five hundred thirty-eight thousand, two hundred forty".