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324011940 = 223571922137
BaseRepresentation
bin10011010100000…
…000011110100100
3211120200111211020
4103110000132210
51130421340230
652052411140
711013025140
oct2324003644
9746614736
10324011940
11156994a6a
1290616ab0
1352187355
1431064220
151d6a3810
hex135007a4

324011940 has 144 divisors (see below), whose sum is σ = 1094792832. Its totient is φ = 70129152.

The previous prime is 324011927. The next prime is 324011951. The reversal of 324011940 is 49110423.

It is a self number, because there is not a number n which added to its sum of digits gives 324011940.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 150552 + ... + 152688.

It is an arithmetic number, because the mean of its divisors is an integer number (7602728).

Almost surely, 2324011940 is an apocalyptic number.

324011940 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 324011940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547396416).

324011940 is an abundant number, since it is smaller than the sum of its proper divisors (770780892).

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

324011940 is a wasteful number, since it uses less digits than its factorization.

324011940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 324011940 is about 18000.3316636111. The cubic root of 324011940 is about 686.8369823963.

The spelling of 324011940 in words is "three hundred twenty-four million, eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 361 380 399 420 532 570 665 722 798 1083 1140 1330 1444 1596 1805 1995 2137 2166 2527 2660 3610 3990 4274 4332 5054 5415 6411 7220 7581 7980 8548 10108 10685 10830 12635 12822 14959 15162 21370 21660 25270 25644 29918 30324 32055 37905 40603 42740 44877 50540 59836 64110 74795 75810 81206 89754 121809 128220 149590 151620 162412 179508 203015 224385 243618 284221 299180 406030 448770 487236 568442 609045 771457 812060 852663 897540 1136884 1218090 1421105 1542914 1705326 2314371 2436180 2842210 3085828 3410652 3857285 4263315 4628742 5400199 5684420 7714570 8526630 9257484 10800398 11571855 15429140 16200597 17053260 21600796 23143710 27000995 32401194 46287420 54001990 64802388 81002985 108003980 162005970 324011940