Search a number
-
+
351327060 = 223257261653
BaseRepresentation
bin10100111100001…
…101001101010100
3220111002021010100
4110330031031110
51204414431220
654510054100
711464142100
oct2474151524
9814067110
10351327060
11170351247
12997aa330
1357a2c246
1434934900
1520c9bd90
hex14f0d354

351327060 has 216 divisors, whose sum is σ = 1261934856. Its totient is φ = 78865920.

The previous prime is 351327007. The next prime is 351327079. The reversal of 351327060 is 60723153.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 346183236 = 2268^2 + 18606^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537694 + ... + 538346.

It is an arithmetic number, because the mean of its divisors is an integer number (5842291).

Almost surely, 2351327060 is an apocalyptic number.

351327060 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 351327060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630967428).

351327060 is an abundant number, since it is smaller than the sum of its proper divisors (910607796).

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

351327060 is a wasteful number, since it uses less digits than its factorization.

351327060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 351327060 is about 18743.7205484930. The cubic root of 351327060 is about 705.6194344609.

The spelling of 351327060 in words is "three hundred fifty-one million, three hundred twenty-seven thousand, sixty".