Search a number
-
+
320113332 = 2232711176793
BaseRepresentation
bin10011000101001…
…000101010110100
3211022100102221100
4103011020222310
51123422111312
651433050100
710634630010
oct2305105264
9738312840
10320113332
11154771980
128b256930
1351420996
143072b540
151d1835dc
hex13148ab4

320113332 has 144 divisors (see below), whose sum is σ = 1068342912. Its totient is φ = 78243840.

The previous prime is 320113327. The next prime is 320113361. The reversal of 320113332 is 233311023.

320113332 is a `hidden beast` number, since 320 + 1 + 13 + 332 = 666.

320113332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43728 + ... + 50520.

It is an arithmetic number, because the mean of its divisors is an integer number (7419048).

Almost surely, 2320113332 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 320113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534171456).

320113332 is an abundant number, since it is smaller than the sum of its proper divisors (748229580).

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

320113332 is a wasteful number, since it uses less digits than its factorization.

320113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 320113332 is about 17891.7112652759. The cubic root of 320113332 is about 684.0711170541.

Adding to 320113332 its reverse (233311023), we get a palindrome (553424355).

The spelling of 320113332 in words is "three hundred twenty million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 6793 7854 11781 13586 15708 20379 23562 27172 40758 47124 47551 61137 74723 81516 95102 115481 122274 142653 149446 190204 224169 230962 244548 285306 298892 346443 427959 448338 461924 523061 570612 672507 692886 808367 855918 896676 1039329 1046122 1270291 1345014 1385772 1569183 1616734 1711836 2078658 2092244 2425101 2540582 2690028 3138366 3233468 3810873 4157316 4707549 4850202 5081164 6276732 7275303 7621746 8892037 9415098 9700404 11432619 14550606 15243492 17784074 18830196 22865238 26676111 29101212 35568148 45730476 53352222 80028333 106704444 160056666 320113332