Search a number
-
+
397388664 = 233223317757
BaseRepresentation
bin10111101011111…
…010101101111000
31000200202102202200
4113223322231320
51303212414124
6103233230200
712563514351
oct2753725570
91020672680
10397388664
11194351a92
12b1102360
1364438b2a
143aac4d28
1524d49bc9
hex17afab78

397388664 has 96 divisors (see below), whose sum is σ = 1128085920. Its totient is φ = 126137088.

The previous prime is 397388627. The next prime is 397388669. The reversal of 397388664 is 466883793.

It is a self number, because there is not a number n which added to its sum of digits gives 397388664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397388669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524574 + ... + 525330.

It is an arithmetic number, because the mean of its divisors is an integer number (11750895).

Almost surely, 2397388664 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 397388664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564042960).

397388664 is an abundant number, since it is smaller than the sum of its proper divisors (730697256).

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

397388664 is a wasteful number, since it uses less digits than its factorization.

397388664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 397388664 is about 19934.6097027256. The cubic root of 397388664 is about 735.1994238817.

The spelling of 397388664 in words is "three hundred ninety-seven million, three hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 317 414 552 634 757 828 951 1268 1514 1656 1902 2271 2536 2853 3028 3804 4542 5706 6056 6813 7291 7608 9084 11412 13626 14582 17411 18168 21873 22824 27252 29164 34822 43746 52233 54504 58328 65619 69644 87492 104466 131238 139288 156699 174984 208932 239969 262476 313398 417864 479938 524952 626796 719907 959876 1253592 1439814 1919752 2159721 2879628 4319442 5519287 5759256 8638884 11038574 16557861 17277768 22077148 33115722 44154296 49673583 66231444 99347166 132462888 198694332 397388664