Search a number
-
+
321372740 = 225131816829
BaseRepresentation
bin10011001001111…
…100001001000100
3211101201102112002
4103021330021010
51124232411430
651520044432
710651423523
oct2311741104
9741642462
10321372740
11155452107
128b763718
1351771cb0
14309784ba
151d331845
hex1327c244

321372740 has 48 divisors (see below), whose sum is σ = 730919280. Its totient is φ = 117987840.

The previous prime is 321372731. The next prime is 321372773. The reversal of 321372740 is 47273123.

It can be written as a sum of positive squares in 8 ways, for example, as 98049604 + 223323136 = 9902^2 + 14944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43646 + ... + 50474.

It is an arithmetic number, because the mean of its divisors is an integer number (15227485).

Almost surely, 2321372740 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 321372740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365459640).

321372740 is an abundant number, since it is smaller than the sum of its proper divisors (409546540).

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

321372740 is a wasteful number, since it uses less digits than its factorization.

321372740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 321372740 is about 17926.8720082451. The cubic root of 321372740 is about 684.9670469167.

The spelling of 321372740 in words is "three hundred twenty-one million, three hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 6829 9412 11765 13658 23530 27316 34145 47060 68290 88777 136580 177554 355108 443885 887770 1236049 1775540 2472098 4944196 6180245 12360490 16068637 24720980 32137274 64274548 80343185 160686370 321372740