Search a number
-
+
324212140 = 225723107941
BaseRepresentation
bin10011010100110…
…001010110101100
3211121001200110001
4103110301112230
51130444242030
652100554044
711014520620
oct2324612654
9747050401
10324212140
1115701141a
12906b2924
1352227505
14310b7180
151d6e2cca
hex135315ac

324212140 has 96 divisors (see below), whose sum is σ = 820399104. Its totient is φ = 105219840.

The previous prime is 324212123. The next prime is 324212153. The reversal of 324212140 is 41212423.

It is a super-2 number, since 2×3242121402 = 210227023446759200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344070 + ... + 345010.

It is an arithmetic number, because the mean of its divisors is an integer number (8545824).

Almost surely, 2324212140 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 324212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410199552).

324212140 is an abundant number, since it is smaller than the sum of its proper divisors (496186964).

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

324212140 is a wasteful number, since it uses less digits than its factorization.

324212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 324212140 is about 18005.8918135148. The cubic root of 324212140 is about 686.9784138645.

Adding to 324212140 its reverse (41212423), we get a palindrome (365424563).

The spelling of 324212140 in words is "three hundred twenty-four million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 107 115 140 161 214 230 322 428 460 535 644 749 805 941 1070 1498 1610 1882 2140 2461 2996 3220 3745 3764 4705 4922 6587 7490 9410 9844 12305 13174 14980 17227 18820 21643 24610 26348 32935 34454 43286 49220 65870 68908 86135 86572 100687 108215 131740 151501 172270 201374 216430 303002 344540 402748 432860 503435 606004 704809 757505 1006870 1409618 1515010 2013740 2315801 2819236 3030020 3524045 4631602 7048090 9263204 11579005 14096180 16210607 23158010 32421214 46316020 64842428 81053035 162106070 324212140