Search a number
-
+
364113321 = 3112131931131
BaseRepresentation
bin10101101100111…
…110110110101001
3221101010212120120
4111230332312221
51221203111241
6100044113453
712010624605
oct2554766651
9841125516
10364113321
11177594800
12a1b35889
135a588090
1436502505
1521e75666
hex15b3eda9

364113321 has 96 divisors (see below), whose sum is σ = 629207040. Its totient is φ = 185328000.

The previous prime is 364113319. The next prime is 364113341. The reversal of 364113321 is 123311463.

It is a happy number.

It is not a de Polignac number, because 364113321 - 21 = 364113319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 364113291 and 364113300.

It is not an unprimeable number, because it can be changed into a prime (364113341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2779426 + ... + 2779556.

It is an arithmetic number, because the mean of its divisors is an integer number (6554240).

Almost surely, 2364113321 is an apocalyptic number.

364113321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

364113321 is a deficient number, since it is larger than the sum of its proper divisors (265093719).

364113321 is a wasteful number, since it uses less digits than its factorization.

364113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 364113321 is about 19081.7536143825. The cubic root of 364113321 is about 714.0777853882.

Adding to 364113321 its reverse (123311463), we get a palindrome (487424784).

The spelling of 364113321 in words is "three hundred sixty-four million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 11 13 19 31 33 39 57 93 121 131 143 209 247 341 363 393 403 429 589 627 741 1023 1209 1441 1573 1703 1767 2299 2489 2717 3751 4061 4323 4433 4719 5109 6479 6897 7467 7657 8151 11253 12183 13299 15851 18733 19437 22971 27379 29887 32357 44671 47553 48763 52793 56199 71269 77159 82137 84227 89661 97071 134013 146289 158379 206063 213807 231477 252681 301169 355927 491381 580723 618189 848749 903507 926497 1003067 1067781 1474143 1742169 2546247 2779491 3009201 3915197 6387953 9336239 11033737 11745591 19163859 28008717 33101211 121371107 364113321