Search a number
-
+
324084640 = 25511593121
BaseRepresentation
bin10011010100010…
…010001110100000
3211120211012112211
4103110102032200
51130431202030
652054131504
711013450115
oct2324221640
9746735484
10324084640
11156a34650
1290650b94
13521b1479
143108290c
151d6ba12a
hex135123a0

324084640 has 96 divisors (see below), whose sum is σ = 849683520. Its totient is φ = 115814400.

The previous prime is 324084637. The next prime is 324084641. The reversal of 324084640 is 46480423.

It is not an unprimeable number, because it can be changed into a prime (324084641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102280 + ... + 105400.

It is an arithmetic number, because the mean of its divisors is an integer number (8850870).

Almost surely, 2324084640 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 324084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424841760).

324084640 is an abundant number, since it is smaller than the sum of its proper divisors (525598880).

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

324084640 is a wasteful number, since it uses less digits than its factorization.

324084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 324084640 is about 18002.3509575833. The cubic root of 324084640 is about 686.8883481109. Note that the first 3 decimals are identical.

It can be divided in two parts, 3240 and 84640, that multiplied together give a square (274233600 = 165602).

The spelling of 324084640 in words is "three hundred twenty-four million, eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 80 88 110 118 160 176 220 236 295 352 440 472 590 649 880 944 1180 1298 1760 1888 2360 2596 3121 3245 4720 5192 6242 6490 9440 10384 12484 12980 15605 20768 24968 25960 31210 34331 49936 51920 62420 68662 99872 103840 124840 137324 171655 184139 249680 274648 343310 368278 499360 549296 686620 736556 920695 1098592 1373240 1473112 1841390 2025529 2746480 2946224 3682780 4051058 5492960 5892448 7365560 8102116 10127645 14731120 16204232 20255290 29462240 32408464 40510580 64816928 81021160 162042320 324084640