Search a number
-
+
2430440342 = 211977971429
BaseRepresentation
bin1001000011011101…
…1001001110010110
320021101022011100222
42100313121032112
514434143042332
61041100434342
7114141254621
oct22067311626
96241264328
102430440342
111037a13890
12579b489b2
132c96b61a5
14190b04db8
15e358a712
hex90dd9396

2430440342 has 32 divisors (see below), whose sum is σ = 4025941920. Its totient is φ = 1091220480.

The previous prime is 2430440339. The next prime is 2430440357.

2430440342 is nontrivially palindromic in base 10.

2430440342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1700084 + ... + 1701512.

It is an arithmetic number, because the mean of its divisors is an integer number (125810685).

Almost surely, 22430440342 is an apocalyptic number.

2430440342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2430440342 is a deficient number, since it is larger than the sum of its proper divisors (1595501578).

2430440342 is a wasteful number, since it uses less digits than its factorization.

2430440342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336.

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2430440342 is about 49299.4963665959. The cubic root of 2430440342 is about 1344.5026269113.

It can be divided in two parts, 24304 and 40342, that added together give a palindrome (64646).

The spelling of 2430440342 in words is "two billion, four hundred thirty million, four hundred forty thousand, three hundred forty-two".

Divisors: 1 2 11 22 97 194 797 1067 1429 1594 2134 2858 8767 15719 17534 31438 77309 138613 154618 277226 850399 1138913 1524743 1700798 2277826 3049486 12528043 25056086 110474561 220949122 1215220171 2430440342