Search a number
-
+
731270064 = 243712717137
BaseRepresentation
bin101011100101100…
…100101110110000
31212222000100221110
4223211210232300
52444201120224
6200321353320
724056456460
oct5345445660
91788010843
10731270064
11345868028
12184a98840
13b866a4a5
146d197ba0
15442ec929
hex2b964bb0

731270064 has 80 divisors (see below), whose sum is σ = 2176114688. Its totient is φ = 207277056.

The previous prime is 731270053. The next prime is 731270069. The reversal of 731270064 is 460072137.

731270064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (731270069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34104 + ... + 51240.

Almost surely, 2731270064 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 731270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088057344).

731270064 is an abundant number, since it is smaller than the sum of its proper divisors (1444844624).

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

731270064 is a wasteful number, since it uses less digits than its factorization.

731270064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17282 (or 17276 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 731270064 is about 27042.0055469264. The cubic root of 731270064 is about 900.9332147263.

The spelling of 731270064 in words is "seven hundred thirty-one million, two hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 10668 14224 17137 21336 34274 42672 51411 68548 102822 119959 137096 205644 239918 274192 359877 411288 479836 719754 822576 959672 1439508 1919344 2176399 2879016 4352798 5758032 6529197 8705596 13058394 15234793 17411192 26116788 30469586 34822384 45704379 52233576 60939172 91408758 104467152 121878344 182817516 243756688 365635032 731270064