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2430012432 = 243229221071
BaseRepresentation
bin1001000011010111…
…0000110000010000
320021100111102101110
42100311300300100
514434040344212
61041043333320
7114134523231
oct22065606020
96240442343
102430012432
111037751341
12579981240
132c95964a3
14190a33088
15e3503a3c
hex90d70c10

2430012432 has 40 divisors (see below), whose sum is σ = 6304973440. Its totient is φ = 806463360.

The previous prime is 2430012427. The next prime is 2430012437. The reversal of 2430012432 is 2342100342.

It is an interprime number because it is at equal distance from previous prime (2430012427) and next prime (2430012437).

It is a junction number, because it is equal to n+sod(n) for n = 2430012399 and 2430012408.

It is not an unprimeable number, because it can be changed into a prime (2430012437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99544 + ... + 121527.

It is an arithmetic number, because the mean of its divisors is an integer number (157624336).

Almost surely, 22430012432 is an apocalyptic number.

It is an amenable number.

2430012432 is an abundant number, since it is smaller than the sum of its proper divisors (3874961008).

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

2430012432 is a wasteful number, since it uses less digits than its factorization.

2430012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221311 (or 221305 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2430012432 is about 49295.1562732080. The cubic root of 2430012432 is about 1344.4237166720.

Adding to 2430012432 its reverse (2342100342), we get a palindrome (4772112774).

The spelling of 2430012432 in words is "two billion, four hundred thirty million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 10992 221071 442142 663213 884284 1326426 1768568 2652852 3537136 5305704 10611408 50625259 101250518 151875777 202501036 303751554 405002072 607503108 810004144 1215006216 2430012432