Search a number
-
+
797645340 = 223354673163
BaseRepresentation
bin101111100010110…
…001101000011100
32001120220120201000
4233202301220130
53113144122330
6211052150300
725523605422
oct5742615034
92046816630
10797645340
1137a282828
121a3168390
13c933a1bb
1477d15112
154a05e560
hex2f8b1a1c

797645340 has 96 divisors (see below), whose sum is σ = 2487663360. Its totient is φ = 212182848.

The previous prime is 797645339. The next prime is 797645341. The reversal of 797645340 is 43546797.

797645340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (797645339) and next prime (797645341).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797645341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250599 + ... + 253761.

It is an arithmetic number, because the mean of its divisors is an integer number (25913160).

Almost surely, 2797645340 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 797645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243831680).

797645340 is an abundant number, since it is smaller than the sum of its proper divisors (1690018020).

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

797645340 is a wasteful number, since it uses less digits than its factorization.

797645340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 797645340 is about 28242.6156720655. The cubic root of 797645340 is about 927.4060913875.

The spelling of 797645340 in words is "seven hundred ninety-seven million, six hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 467 540 934 1401 1868 2335 2802 3163 4203 4670 5604 6326 7005 8406 9340 9489 12609 12652 14010 15815 16812 18978 21015 25218 28020 28467 31630 37956 42030 47445 50436 56934 63045 63260 84060 85401 94890 113868 126090 142335 170802 189780 252180 284670 341604 427005 569340 854010 1477121 1708020 2954242 4431363 5908484 7385605 8862726 13294089 14771210 17725452 22156815 26588178 29542420 39882267 44313630 53176356 66470445 79764534 88627260 132940890 159529068 199411335 265881780 398822670 797645340