Search a number
-
+
324712980 = 2232553101337
BaseRepresentation
bin10011010110101…
…011101000010100
3211122000010110200
4103112223220110
51131111303410
652115420500
711022005034
oct2326535024
9748003420
10324712980
11157323739
12908b4730
1352371477
14311a78c4
151d7913c0
hex135aba14

324712980 has 144 divisors (see below), whose sum is σ = 1016490384. Its totient is φ = 83865600.

The previous prime is 324712957. The next prime is 324713009. The reversal of 324712980 is 89217423.

It can be written as a sum of positive squares in 8 ways, for example, as 15023376 + 309689604 = 3876^2 + 17598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 963372 + ... + 963708.

It is an arithmetic number, because the mean of its divisors is an integer number (7058961).

Almost surely, 2324712980 is an apocalyptic number.

324712980 is a gapful number since it is divisible by the number (30) 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 324712980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508245192).

324712980 is an abundant number, since it is smaller than the sum of its proper divisors (691777404).

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

324712980 is a wasteful number, since it uses less digits than its factorization.

324712980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 324712980 is about 18019.7941164709. The cubic root of 324712980 is about 687.3319778926.

The spelling of 324712980 in words is "three hundred twenty-four million, seven hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 101 106 159 180 202 212 265 303 318 337 404 477 505 530 606 636 674 795 909 954 1010 1011 1060 1212 1348 1515 1590 1685 1818 1908 2020 2022 2385 3030 3033 3180 3370 3636 4044 4545 4770 5055 5353 6060 6066 6740 9090 9540 10110 10706 12132 15165 16059 17861 18180 20220 21412 26765 30330 32118 34037 35722 48177 53530 53583 60660 64236 68074 71444 80295 89305 96354 102111 107060 107166 136148 160590 160749 170185 178610 192708 204222 214332 240885 267915 306333 321180 321498 340370 357220 408444 481770 510555 535830 612666 642996 680740 803745 963540 1021110 1071660 1225332 1531665 1607490 1803961 2042220 3063330 3214980 3607922 5411883 6126660 7215844 9019805 10823766 16235649 18039610 21647532 27059415 32471298 36079220 54118830 64942596 81178245 108237660 162356490 324712980