Search a number
-
+
730145712 = 2434129049
BaseRepresentation
bin101011100001010…
…010001110110000
31212212220020121210
4223201102032300
52443404130322
6200241320120
724044064462
oct5341221660
91785806553
10730145712
1134516a30a
12184636040
13b83657aa
146cd84132
154417970c
hex2b8523b0

730145712 has 60 divisors (see below), whose sum is σ = 1933550600. Its totient is φ = 237419520.

The previous prime is 730145707. The next prime is 730145723. The reversal of 730145712 is 217541037.

It is a super-2 number, since 2×7301457122 = 1066225521503973888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 730145712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76164 + ... + 85212.

Almost surely, 2730145712 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 730145712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966775300).

730145712 is an abundant number, since it is smaller than the sum of its proper divisors (1203404888).

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

730145712 is a wasteful number, since it uses less digits than its factorization.

730145712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 730145712 is about 27021.2085592040. The cubic root of 730145712 is about 900.4712396358.

Adding to 730145712 its reverse (217541037), we get a palindrome (947686749).

The spelling of 730145712 in words is "seven hundred thirty million, one hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1681 1968 3362 5043 6724 9049 10086 13448 18098 20172 26896 27147 36196 40344 54294 72392 80688 108588 144784 217176 371009 434352 742018 1113027 1484036 2226054 2968072 4452108 5936144 8904216 15211369 17808432 30422738 45634107 60845476 91268214 121690952 182536428 243381904 365072856 730145712