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4312313240 = 2352311933929
BaseRepresentation
bin1000000010000100…
…01010110110011000
3102010112101012200012
410001002022312120
532312423010430
61551523501052
7211602025544
oct40102126630
912115335605
104312313240
111913208844
12a04227788
13539540c51
142cca10a24
151a38b7695
hex10108ad98

4312313240 has 64 divisors (see below), whose sum is σ = 10135627200. Its totient is φ = 1648125952.

The previous prime is 4312313237. The next prime is 4312313267. The reversal of 4312313240 is 423132134.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1095596 + ... + 1099524.

It is an arithmetic number, because the mean of its divisors is an integer number (158369175).

Almost surely, 24312313240 is an apocalyptic number.

4312313240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067813600).

4312313240 is an abundant number, since it is smaller than the sum of its proper divisors (5823313960).

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

4312313240 is a wasteful number, since it uses less digits than its factorization.

4312313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4312313240 is about 65668.2057010849. The cubic root of 4312313240 is about 1627.6840206801.

Adding to 4312313240 its reverse (423132134), we get a palindrome (4735445374).

The spelling of 4312313240 in words is "four billion, three hundred twelve million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1193 2386 3929 4772 5965 7858 9544 11930 15716 19645 23860 27439 31432 39290 47720 54878 78580 90367 109756 137195 157160 180734 219512 274390 361468 451835 548780 722936 903670 1097560 1807340 3614680 4687297 9374594 18749188 23436485 37498376 46872970 93745940 107807831 187491880 215615662 431231324 539039155 862462648 1078078310 2156156620 4312313240