Search a number
-
+
2430423624 = 233792275647
BaseRepresentation
bin1001000011011101…
…0101001001001000
320021101021022102210
42100313111021020
514434142023444
61041100225120
7114141155106
oct22067251110
96241238383
102430423624
111037a02272
12579b3b1a0
132c96ab6b5
14190adcc76
15e35857b9
hex90dd5248

2430423624 has 64 divisors (see below), whose sum is σ = 6181171200. Its totient is φ = 796221504.

The previous prime is 2430423623. The next prime is 2430423641. The reversal of 2430423624 is 4263240342.

It is a junction number, because it is equal to n+sod(n) for n = 2430423591 and 2430423600.

It is not an unprimeable number, because it can be changed into a prime (2430423623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427569 + ... + 433215.

It is an arithmetic number, because the mean of its divisors is an integer number (96580800).

Almost surely, 22430423624 is an apocalyptic number.

2430423624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2430423624 is an abundant number, since it is smaller than the sum of its proper divisors (3750747576).

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

2430423624 is a wasteful number, since it uses less digits than its factorization.

2430423624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2430423624 is about 49299.3268108196. The cubic root of 2430423624 is about 1344.4995441440.

Adding to 2430423624 its reverse (4263240342), we get a palindrome (6693663966).

The spelling of 2430423624 in words is "two billion, four hundred thirty million, four hundred twenty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 227 237 316 454 474 632 681 908 948 1362 1816 1896 2724 5448 5647 11294 16941 17933 22588 33882 35866 45176 53799 67764 71732 107598 135528 143464 215196 430392 446113 892226 1281869 1338339 1784452 2563738 2676678 3568904 3845607 5127476 5353356 7691214 10254952 10706712 15382428 30764856 101267651 202535302 303802953 405070604 607605906 810141208 1215211812 2430423624