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4342322440 = 235193562477
BaseRepresentation
bin1000000101101001…
…01001010100001000
3102012121211211120001
410002310221110020
532343113304230
61554515012344
7212415063121
oct40264512410
912177754501
104342322440
111929145135
12a1229a0b4
1354281a181
142d29c3048
151a63440ca
hex102d29508

4342322440 has 32 divisors (see below), whose sum is σ = 9820865880. Its totient is φ = 1727926272.

The previous prime is 4342322417. The next prime is 4342322447. The reversal of 4342322440 is 442232434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2371495204 + 1970827236 = 48698^2 + 44394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4342322399 and 4342322408.

It is not an unprimeable number, because it can be changed into a prime (4342322447) 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, 273519 + ... + 288958.

Almost surely, 24342322440 is an apocalyptic number.

4342322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4342322440 is an abundant number, since it is smaller than the sum of its proper divisors (5478543440).

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

4342322440 is a wasteful number, since it uses less digits than its factorization.

4342322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562681 (or 562677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 4342322440 is about 65896.3006548926. The cubic root of 4342322440 is about 1631.4509568979.

Adding to 4342322440 its reverse (442232434), we get a palindrome (4784554874).

The spelling of 4342322440 in words is "four billion, three hundred forty-two million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 7720 562477 1124954 2249908 2812385 4499816 5624770 11249540 22499080 108558061 217116122 434232244 542790305 868464488 1085580610 2171161220 4342322440