Search a number
-
+
325946916 = 2234172592
BaseRepresentation
bin10011011011011…
…000111000100100
3211201022211010000
4103123120320210
51131420300131
652202101300
711035334361
oct2333307044
9751284100
10325946916
11157a96819
12911aa830
13526b3cc9
1431409468
151d936ce6
hex136d8e24

325946916 has 135 divisors (see below), whose sum is σ = 920762689. Its totient is φ = 100524672.

The previous prime is 325946911. The next prime is 325946917. The reversal of 325946916 is 619649523.

The square root of 325946916 is 18054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 253764900 + 72182016 = 15930^2 + 8496^2 .

It is a super-2 number, since 2×3259469162 = 212482784099822112, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (349920) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (325946911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5524495 + ... + 5524553.

Almost surely, 2325946916 is an apocalyptic number.

325946916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

325946916 is the 18054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325946916

325946916 is an abundant number, since it is smaller than the sum of its proper divisors (594815773).

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

325946916 is a wasteful number, since it uses less digits than its factorization.

325946916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 81 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The cubic root of 325946916 is about 688.2015167087.

The spelling of 325946916 in words is "three hundred twenty-five million, nine hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 81 102 108 118 153 162 177 204 236 289 306 324 354 459 531 578 612 708 867 918 1003 1062 1156 1377 1593 1734 1836 2006 2124 2601 2754 3009 3186 3468 3481 4012 4779 5202 5508 6018 6372 6962 7803 9027 9558 10404 10443 12036 13924 15606 17051 18054 19116 20886 23409 27081 31212 31329 34102 36108 41772 46818 51153 54162 59177 62658 68204 81243 93636 93987 102306 108324 118354 125316 153459 162486 177531 187974 204612 236708 281961 306918 324972 355062 375948 460377 532593 563922 613836 710124 920754 1006009 1065186 1127844 1381131 1597779 1841508 2012018 2130372 2762262 3018027 3195558 4024036 4793337 5524524 6036054 6391116 9054081 9586674 12072108 18108162 19173348 27162243 36216324 54324486 81486729 108648972 162973458 325946916