[go: up one dir, main page]

Search a number
-
+
327023130 = 235711313781
BaseRepresentation
bin10011011111011…
…111101000011010
3211210100111101210
4103133133220122
51132204220010
652241123550
711050436130
oct2337375032
9753314353
10327023130
11158661355
12916295b6
135299cb15
1431609750
151da9ab20
hex137dfa1a

327023130 has 64 divisors (see below), whose sum is σ = 904981248. Its totient is φ = 74081280.

The previous prime is 327023051. The next prime is 327023141. The reversal of 327023130 is 31320723.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 327023097 and 327023106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16840 + ... + 30620.

It is an arithmetic number, because the mean of its divisors is an integer number (14140332).

Almost surely, 2327023130 is an apocalyptic number.

327023130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 327023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452490624).

327023130 is an abundant number, since it is smaller than the sum of its proper divisors (577958118).

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

327023130 is a wasteful number, since it uses less digits than its factorization.

327023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13911.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 327023130 is about 18083.7808546775. The cubic root of 327023130 is about 688.9581209278.

Adding to 327023130 its reverse (31320723), we get a palindrome (358343853).

The spelling of 327023130 in words is "three hundred twenty-seven million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4746 7910 11865 13781 23730 27562 41343 68905 82686 96467 137810 192934 206715 289401 413430 482335 578802 964670 1447005 1557253 2894010 3114506 4671759 7786265 9343518 10900771 15572530 21801542 23358795 32702313 46717590 54503855 65404626 109007710 163511565 327023130