Search a number
-
+
332531316 = 2232135912043
BaseRepresentation
bin10011110100100…
…000011001110100
3212011201100012200
4103310200121310
51140112000231
652555144500
711145320025
oct2364403164
9764640180
10332531316
11160783777
1293445130
1353b7acc0
1432240c4c
151e2d7be6
hex13d20674

332531316 has 72 divisors (see below), whose sum is σ = 920643360. Its totient is φ = 100574784.

The previous prime is 332531299. The next prime is 332531333. The reversal of 332531316 is 613135233.

It is a happy number.

332531316 is a `hidden beast` number, since 332 + 5 + 313 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (332531299) and next prime (332531333).

It is a super-2 number, since 2×3325313162 = 221154152241383712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332531316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21591 + ... + 33633.

Almost surely, 2332531316 is an apocalyptic number.

332531316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332531316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460321680).

332531316 is an abundant number, since it is smaller than the sum of its proper divisors (588112044).

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

332531316 is a wasteful number, since it uses less digits than its factorization.

332531316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12120 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 332531316 is about 18235.4412066174. The cubic root of 332531316 is about 692.8047400012.

Adding to 332531316 its reverse (613135233), we get a palindrome (945666549).

The spelling of 332531316 in words is "three hundred thirty-two million, five hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 6903 9204 12043 13806 24086 27612 36129 48172 72258 108387 144516 156559 216774 313118 433548 469677 626236 710537 939354 1409031 1421074 1878708 2131611 2818062 2842148 4263222 5636124 6394833 8526444 9236981 12789666 18473962 25579332 27710943 36947924 55421886 83132829 110843772 166265658 332531316