Search a number
-
+
730643144 = 237113732057
BaseRepresentation
bin101011100011001…
…011101011001000
31212220211111222012
4223203023223020
52444021040034
6200300115052
724051235640
oct5343135310
91786744865
10730643144
1134547a010
12184835a88
13b84ab02a
146d073520
1544226cce
hex2b8cbac8

730643144 has 64 divisors (see below), whose sum is σ = 1754213760. Its totient is φ = 276963840.

The previous prime is 730643141. The next prime is 730643149. The reversal of 730643144 is 441346037.

730643144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 730643144.

It is not an unprimeable number, because it can be changed into a prime (730643141) 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, 6764 + ... + 38820.

It is an arithmetic number, because the mean of its divisors is an integer number (27409590).

Almost surely, 2730643144 is an apocalyptic number.

730643144 is a gapful number since it is divisible by the number (74) 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 730643144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877106880).

730643144 is an abundant number, since it is smaller than the sum of its proper divisors (1023570616).

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

730643144 is a wasteful number, since it uses less digits than its factorization.

730643144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32118 (or 32114 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 730643144 is about 27030.4114656067. The cubic root of 730643144 is about 900.6756835437.

The spelling of 730643144 in words is "seven hundred thirty million, six hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 11396 22792 32057 64114 128228 224399 256456 352627 448798 705254 897596 1186109 1410508 1795192 2372218 2468389 2821016 4744436 4936778 8302763 9488872 9873556 13047199 16605526 19747112 26094398 33211052 52188796 66422104 91330393 104377592 182660786 365321572 730643144