Search a number
-
+
328097115720 = 2332511269308003
BaseRepresentation
bin1001100011001000001…
…11001010111001001000
31011100212122121101121200
410301210013022321020
520333420330200340
6410420431504200
732463360316533
oct4614407127110
91140778541550
10328097115720
111171662a51a0
1253707088060
1324c29bc037a
1411c46971a1a
15880420a330
hex4c641cae48

328097115720 has 192 divisors, whose sum is σ = 1167581563200. Its totient is φ = 79242754560.

The previous prime is 328097115719. The next prime is 328097115721. The reversal of 328097115720 is 27511790823.

328097115720 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 9 + 71 + 1 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (328097115719) and next prime (328097115721).

It is a super-2 number, since 2×3280971157202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (328097115721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 911239 + ... + 1219241.

It is an arithmetic number, because the mean of its divisors is an integer number (6081153975).

Almost surely, 2328097115720 is an apocalyptic number.

328097115720 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 328097115720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583790781600).

328097115720 is an abundant number, since it is smaller than the sum of its proper divisors (839484447480).

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

328097115720 is a wasteful number, since it uses less digits than its factorization.

328097115720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308300 (or 308293 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 328097115720 in words is "three hundred twenty-eight billion, ninety-seven million, one hundred fifteen thousand, seven hundred twenty".