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726745344 = 2831383877
BaseRepresentation
bin101011010100010…
…100000100000000
31212122111111012020
4223110110010000
52442021322334
6200040401440
724003143043
oct5324240400
91778444166
10726745344
11343257596
12183476280
13b7744b40
146c73ac5a
1543c06e49
hex2b514100

726745344 has 144 divisors (see below), whose sum is σ = 2110487232. Its totient is φ = 220667904.

The previous prime is 726745343. The next prime is 726745363. The reversal of 726745344 is 443547627.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 726745296 and 726745305.

It is not an unprimeable number, because it can be changed into a prime (726745343) 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, 828234 + ... + 829110.

Almost surely, 2726745344 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 726745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055243616).

726745344 is an abundant number, since it is smaller than the sum of its proper divisors (1383741888).

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

726745344 is a wasteful number, since it uses less digits than its factorization.

726745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its digits is 564480, while the sum is 42.

The square root of 726745344 is about 26958.2147776888. The cubic root of 726745344 is about 899.0711998325.

The spelling of 726745344 in words is "seven hundred twenty-six million, seven hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 624 664 768 832 877 996 1079 1248 1328 1664 1754 1992 2158 2496 2631 2656 3237 3328 3508 3984 4316 4992 5262 5312 6474 7016 7968 8632 9984 10524 10624 11401 12948 14032 15936 17264 21048 21248 22802 25896 28064 31872 34203 34528 42096 45604 51792 56128 63744 68406 69056 72791 84192 91208 103584 112256 136812 138112 145582 168384 182416 207168 218373 224512 273624 276224 291164 336768 364832 414336 436746 547248 582328 673536 729664 828672 873492 946283 1094496 1164656 1459328 1746984 1892566 2188992 2329312 2838849 2918656 3493968 3785132 4377984 4658624 5677698 6987936 7570264 8755968 9317248 11355396 13975872 15140528 18634496 22710792 27951744 30281056 45421584 55903488 60562112 90843168 121124224 181686336 242248448 363372672 726745344