Search a number
-
+
30432404430 = 23355310192087
BaseRepresentation
bin11100010101111010…
…011010001111001110
32220112212221022202000
4130111322122033032
5444311143420210
621551440013130
72125100112111
oct342572321716
986485838660
1030432404430
11119a733196a
125a939011a6
132b3cb40bcc
141689a46578
15bd1a8dac0
hex715e9a3ce

30432404430 has 128 divisors (see below), whose sum is σ = 82805068800. Its totient is φ = 7950563712.

The previous prime is 30432404423. The next prime is 30432404441. The reversal of 30432404430 is 3440423403.

30432404430 is a `hidden beast` number, since 304 + 324 + 0 + 4 + 4 + 30 = 666.

It is a super-2 number, since 2×304324044302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30432404394 and 30432404403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14580847 + ... + 14582933.

It is an arithmetic number, because the mean of its divisors is an integer number (646914600).

Almost surely, 230432404430 is an apocalyptic number.

30432404430 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 30432404430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41402534400).

30432404430 is an abundant number, since it is smaller than the sum of its proper divisors (52372664370).

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

30432404430 is a wasteful number, since it uses less digits than its factorization.

30432404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 30432404430 its reverse (3440423403), we get a palindrome (33872827833).

The spelling of 30432404430 in words is "thirty billion, four hundred thirty-two million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1019 1431 1590 2038 2087 2385 2862 3057 4174 4770 5095 6114 6261 7155 9171 10190 10435 12522 14310 15285 18342 18783 20870 27513 30570 31305 37566 45855 54007 55026 56349 62610 91710 93915 108014 110611 112698 137565 162021 187830 221222 270035 275130 281745 324042 331833 486063 540070 553055 563490 663666 810105 972126 995499 1106110 1458189 1620210 1659165 1990998 2126653 2430315 2916378 2986497 3318330 4253306 4860630 4977495 5972994 6379959 7290945 9954990 10633265 12759918 14581890 14932485 19139877 21266530 29864970 31899795 38279754 57419631 63799590 95699385 112712609 114839262 191398770 225425218 287098155 338137827 563563045 574196310 676275654 1014413481 1127126090 1690689135 2028826962 3043240443 3381378270 5072067405 6086480886 10144134810 15216202215 30432404430