[go: up one dir, main page]

Search a number
-
+
2430333340 = 225434760127
BaseRepresentation
bin1001000011011011…
…1111000110011100
320021101002201120221
42100312333012130
514434131131330
61041054251124
7114140330641
oct22066770634
96241081527
102430333340
111037950456
12579ab6aa4
132c9679586
14190ab7dc8
15e3568b7a
hex90dbf19c

2430333340 has 48 divisors (see below), whose sum is σ = 5333594112. Its totient is φ = 929307456.

The previous prime is 2430333317. The next prime is 2430333359. The reversal of 2430333340 is 433330342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10357 + ... + 70483.

It is an arithmetic number, because the mean of its divisors is an integer number (111116544).

Almost surely, 22430333340 is an apocalyptic number.

2430333340 is a gapful number since it is divisible by the number (20) 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 2430333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666797056).

2430333340 is an abundant number, since it is smaller than the sum of its proper divisors (2903260772).

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

2430333340 is a wasteful number, since it uses less digits than its factorization.

2430333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60226 (or 60224 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

The square root of 2430333340 is about 49298.4111305831. The cubic root of 2430333340 is about 1344.4828957020.

Adding to 2430333340 its reverse (433330342), we get a palindrome (2863663682).

The spelling of 2430333340 in words is "two billion, four hundred thirty million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 4042 8084 10105 20210 40420 60127 120254 240508 300635 601270 1202540 2585461 2825969 5170922 5651938 10341844 11303876 12927305 14129845 25854610 28259690 51709220 56519380 121516667 243033334 486066668 607583335 1215166670 2430333340