Search a number
-
+
30430336840 = 2352960143649
BaseRepresentation
bin11100010101110010…
…100001011101001000
32220112202001021112121
4130111302201131020
5444310131234330
621551323421024
72125043411131
oct342562413510
986482037477
1030430336840
11119a614a512
125a93084774
132b3c598a97
141689668c88
15bd17d117a
hex715ca1748

30430336840 has 64 divisors (see below), whose sum is σ = 70948710000. Its totient is φ = 11732582400.

The previous prime is 30430336837. The next prime is 30430336877. The reversal of 30430336840 is 4863303403.

It can be written as a sum of positive squares in 8 ways, for example, as 19076581924 + 11353754916 = 138118^2 + 106554^2 .

It is a super-2 number, since 2×304303368402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30430336796 and 30430336805.

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, 675336 + ... + 718984.

Almost surely, 230430336840 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 30430336840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35474355000).

30430336840 is an abundant number, since it is smaller than the sum of its proper divisors (40518373160).

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

30430336840 is a wasteful number, since it uses less digits than its factorization.

30430336840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44290 (or 44286 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

It can be divided in two parts, 304303 and 36840, that added together give a palindrome (341143).

The spelling of 30430336840 in words is "thirty billion, four hundred thirty million, three hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 601 1160 1202 2404 3005 4808 6010 12020 17429 24040 34858 43649 69716 87145 87298 139432 174290 174596 218245 348580 349192 436490 697160 872980 1265821 1745960 2531642 5063284 6329105 10126568 12658210 25316420 26233049 50632840 52466098 104932196 131165245 209864392 262330490 524660980 760758421 1049321960 1521516842 3043033684 3803792105 6086067368 7607584210 15215168420 30430336840