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3430344340 = 225173991429
BaseRepresentation
bin1100110001110110…
…1110011010010100
322212001210112210101
43030131232122110
524011132004330
61324220103444
7151002305623
oct31435563224
98761715711
103430344340
111500381525
127b8994b84
134288bb767
142478296ba
1515124d4ca
hexcc76e694

3430344340 has 24 divisors (see below), whose sum is σ = 7245370440. Its totient is φ = 1364204928.

The previous prime is 3430344331. The next prime is 3430344343. The reversal of 3430344340 is 434430343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1594564624 + 1835779716 = 39932^2 + 42846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3430344299 and 3430344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430344343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492255 + ... + 499174.

It is an arithmetic number, because the mean of its divisors is an integer number (301890435).

Almost surely, 23430344340 is an apocalyptic number.

It is an amenable number.

3430344340 is an abundant number, since it is smaller than the sum of its proper divisors (3815026100).

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

3430344340 is a wasteful number, since it uses less digits than its factorization.

3430344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991611 (or 991609 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The square root of 3430344340 is about 58569.1415337462. The cubic root of 3430344340 is about 1508.1547478670.

Adding to 3430344340 its reverse (434430343), we get a palindrome (3864774683).

The spelling of 3430344340 in words is "three billion, four hundred thirty million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 991429 1982858 3965716 4957145 9914290 19828580 171517217 343034434 686068868 857586085 1715172170 3430344340