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324018345040 = 24513535878417
BaseRepresentation
bin1001011011100001111…
…11111001010001010000
31010222100101200101002221
410231300333321101100
520302042144020130
6404504005350424
732260322330035
oct4556077712120
91128311611087
10324018345040
111154629aa435
1252969108414
1324729b7bcb0
141197ad9538c
1586660c587a
hex4b70ff9450

324018345040 has 80 divisors (see below), whose sum is σ = 826599625488. Its totient is φ = 117380210688.

The previous prime is 324018344989. The next prime is 324018345041. The reversal of 324018345040 is 40543810423.

It can be written as a sum of positive squares in 8 ways, for example, as 225480256 + 323792864784 = 15016^2 + 569028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 324018344987 and 324018345005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324018345041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884089 + ... + 2994328.

Almost surely, 2324018345040 is an apocalyptic number.

It is an amenable number.

324018345040 is an abundant number, since it is smaller than the sum of its proper divisors (502581280448).

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

324018345040 is a wasteful number, since it uses less digits than its factorization.

324018345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878496 (or 5878490 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 324018345040 in words is "three hundred twenty-four billion, eighteen million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2756 3445 4240 5512 6890 11024 13780 27560 55120 5878417 11756834 23513668 29392085 47027336 58784170 76419421 94054672 117568340 152838842 235136680 305677684 311556101 382097105 470273360 611355368 623112202 764194210 1222710736 1246224404 1528388420 1557780505 2492448808 3056776840 3115561010 4050229313 4984897616 6113553680 6231122020 8100458626 12462244040 16200917252 20251146565 24924488080 32401834504 40502293130 64803669008 81004586260 162009172520 324018345040