Search a number
-
+
380399564322 = 23237239292
BaseRepresentation
bin1011000100100011001…
…01001011011000100010
31100100212200220001221200
411202101211023120202
522213024242024242
6450430402502030
736324440642451
oct5422145133042
91310780801850
10380399564322
11137365700a28
1261883064916
1329b439818cb
14145a8daab98
159d65ca704c
hex589194b622

380399564322 has 54 divisors (see below), whose sum is σ = 847292401683. Its totient is φ = 123341431104.

The previous prime is 380399564263. The next prime is 380399564333. The reversal of 380399564322 is 223465993083.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 211323170601 + 169076393721 = 459699^2 + 411189^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=436119.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96816454 + ... + 96820382.

Almost surely, 2380399564322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380399564322

380399564322 is an abundant number, since it is smaller than the sum of its proper divisors (466892837361).

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

380399564322 is an frugal number, since it uses more digits than its factorization.

380399564322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 380399564322 in words is "three hundred eighty billion, three hundred ninety-nine million, five hundred sixty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 3929 4107 7858 8214 11787 12321 23574 24642 35361 70722 145373 290746 436119 872238 1308357 2616714 5378801 10757602 15437041 16136403 30874082 32272806 46311123 48409209 92622246 96818418 138933369 277866738 571170517 1142341034 1713511551 3427023102 5140534653 10281069306 21133309129 42266618258 63399927387 126799854774 190199782161 380399564322