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4484434344 = 2331314373187
BaseRepresentation
bin1000010110100101…
…10000100110101000
3102120112020212102220
410023102300212220
533141003344334
62020552554040
7216062030415
oct41322604650
912515225386
104484434344
1119a1389995
12a519b2920
135660b6860
1430781710c
151b3a66449
hex10b4b09a8

4484434344 has 32 divisors (see below), whose sum is σ = 12073477920. Its totient is φ = 1379825856.

The previous prime is 4484434309. The next prime is 4484434379. The reversal of 4484434344 is 4434344844.

It is an interprime number because it is at equal distance from previous prime (4484434309) and next prime (4484434379).

It is a super-2 number, since 2×44844343442 = 40220302771293420672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4484434296 and 4484434305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7186282 + ... + 7186905.

It is an arithmetic number, because the mean of its divisors is an integer number (377296185).

Almost surely, 24484434344 is an apocalyptic number.

It is an amenable number.

4484434344 is an abundant number, since it is smaller than the sum of its proper divisors (7589043576).

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

4484434344 is a wasteful number, since it uses less digits than its factorization.

4484434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14373209 (or 14373205 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The square root of 4484434344 is about 66965.9192724180. The cubic root of 4484434344 is about 1649.0578452331.

The spelling of 4484434344 in words is "four billion, four hundred eighty-four million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 14373187 28746374 43119561 57492748 86239122 114985496 172478244 186851431 344956488 373702862 560554293 747405724 1121108586 1494811448 2242217172 4484434344