Search a number
-
+
4431234768 = 243617149623
BaseRepresentation
bin1000010000001111…
…10100011011010000
3102102211011001100020
410020013310123100
533033344003033
62011412423440
7214544605542
oct41007643320
912384131306
104431234768
1119743532a4
12a38017b80
1355807b00c
14300729692
151ae0586b3
hex1081f46d0

4431234768 has 40 divisors (see below), whose sum is σ = 11465986368. Its totient is φ = 1474674432.

The previous prime is 4431234757. The next prime is 4431234779. The reversal of 4431234768 is 8674321344.

It is an interprime number because it is at equal distance from previous prime (4431234757) and next prime (4431234779).

It is a congruent number.

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, 45196 + ... + 104427.

Almost surely, 24431234768 is an apocalyptic number.

4431234768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4431234768 is an abundant number, since it is smaller than the sum of its proper divisors (7034751600).

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

4431234768 is a wasteful number, since it uses less digits than its factorization.

4431234768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150251 (or 150245 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 4431234768 is about 66567.5203684199. The cubic root of 4431234768 is about 1642.5108732533.

The spelling of 4431234768 in words is "four billion, four hundred thirty-one million, two hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 617 1234 1851 2468 3702 4936 7404 9872 14808 29616 149623 299246 448869 598492 897738 1196984 1795476 2393968 3590952 7181904 92317391 184634782 276952173 369269564 553904346 738539128 1107808692 1477078256 2215617384 4431234768