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730944544 = 25112311607
BaseRepresentation
bin101011100100010…
…101010000100000
31212221101211102011
4223210111100200
52444110211134
6200310402304
724053632441
oct5344252040
91787354364
10730944544
11345665500
12184960394
13b8585285
146d1112c8
1544286264
hex2b915420

730944544 has 72 divisors (see below), whose sum is σ = 1589462784. Its totient is φ = 330633600.

The previous prime is 730944541. The next prime is 730944587. The reversal of 730944544 is 445449037.

It is a junction number, because it is equal to n+sod(n) for n = 730944497 and 730944506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730944541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203889 + ... + 1204495.

It is an arithmetic number, because the mean of its divisors is an integer number (22075872).

Almost surely, 2730944544 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 730944544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794731392).

730944544 is an abundant number, since it is smaller than the sum of its proper divisors (858518240).

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

730944544 is a wasteful number, since it uses less digits than its factorization.

730944544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 730944544 is about 27035.9860926137. The cubic root of 730944544 is about 900.7995134117.

The spelling of 730944544 in words is "seven hundred thirty million, nine hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 311 352 484 607 622 968 1214 1244 1936 2428 2488 3421 3872 4856 4976 6677 6842 9712 9952 13354 13684 19424 26708 27368 37631 53416 54736 73447 75262 106832 109472 146894 150524 188777 213664 293788 301048 377554 587576 602096 755108 1175152 1204192 1510216 2076547 2350304 3020432 4153094 6040864 8306188 16612376 22842017 33224752 45684034 66449504 91368068 182736136 365472272 730944544