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320464572340 = 225112157843461
BaseRepresentation
bin1001010100111010010…
…11010100111110110100
31010122011201122000102211
410222131023110332310
520222302412303330
6403115215543204
732103260630503
oct4523513247664
91118151560384
10320464572340
111139a9995400
1252136b2ab04
13242b1836003
1411720dda83a
1585090e5d2a
hex4a9d2d4fb4

320464572340 has 72 divisors (see below), whose sum is σ = 744429439656. Its totient is φ = 115790188800.

The previous prime is 320464572331. The next prime is 320464572391. The reversal of 320464572340 is 43275464023.

It can be written as a sum of positive squares in 4 ways, for example, as 44438326416 + 276026245924 = 210804^2 + 525382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320464572293 and 320464572302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41791 + ... + 801670.

It is an arithmetic number, because the mean of its divisors is an integer number (10339297773).

Almost surely, 2320464572340 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 320464572340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372214719828).

320464572340 is an abundant number, since it is smaller than the sum of its proper divisors (423964867316).

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

320464572340 is a wasteful number, since it uses less digits than its factorization.

320464572340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843649 (or 843636 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 320464572340 in words is "three hundred twenty billion, four hundred sixty-four million, five hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 242 314 484 605 628 785 1210 1570 1727 2420 3140 3454 6908 8635 17270 18997 34540 37994 75988 94985 189970 379940 843461 1686922 3373844 4217305 8434610 9278071 16869220 18556142 37112284 46390355 92780710 102058781 132423377 185561420 204117562 264846754 408235124 510293905 529693508 662116885 1020587810 1324233770 1456657147 2041175620 2648467540 2913314294 5826628588 7283285735 14566571470 16023228617 29133142940 32046457234 64092914468 80116143085 160232286170 320464572340