Search a number
-
+
796797344 = 25717832521
BaseRepresentation
bin101111011111100…
…010100110100000
32001112022111110202
4233133202212200
53112440003334
6211022044332
725513444220
oct5737424640
92045274422
10796797344
11379853702
121a2a196a8
13c9101225
1477b74080
1549e4317e
hex2f7e29a0

796797344 has 96 divisors (see below), whose sum is σ = 1921885056. Its totient is φ = 317399040.

The previous prime is 796797341. The next prime is 796797373. The reversal of 796797344 is 443797697.

It is a happy number.

It is a super-3 number, since 3×7967973443 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 796797344.

It is not an unprimeable number, because it can be changed into a prime (796797341) 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, 314804 + ... + 317324.

It is an arithmetic number, because the mean of its divisors is an integer number (20019636).

Almost surely, 2796797344 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 796797344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960942528).

796797344 is an abundant number, since it is smaller than the sum of its proper divisors (1125087712).

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

796797344 is a wasteful number, since it uses less digits than its factorization.

796797344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2630 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 56.

The square root of 796797344 is about 28227.5989768879. The cubic root of 796797344 is about 927.0773255921.

The spelling of 796797344 in words is "seven hundred ninety-six million, seven hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 83 112 119 136 166 224 238 272 332 476 544 581 664 952 1162 1328 1411 1904 2324 2521 2656 2822 3808 4648 5042 5644 9296 9877 10084 11288 17647 18592 19754 20168 22576 35294 39508 40336 42857 45152 70588 79016 80672 85714 141176 158032 171428 209243 282352 299999 316064 342856 418486 564704 599998 685712 836972 1199996 1371424 1464701 1673944 2399992 2929402 3347888 3557131 4799984 5858804 6695776 7114262 9599968 11717608 14228524 23435216 24899917 28457048 46870432 49799834 56914096 99599668 113828192 199199336 398398672 796797344