Search a number
-
+
31344234330 = 2351787770079
BaseRepresentation
bin11101001100010000…
…110000111101011010
32222220102201002012210
4131030100300331122
51003143110444310
622222131415550
72156511411243
oct351420607532
988812632183
1031344234330
11123250041a2
1260a91545b6
132c56a1a026
141734ba1cca
15c36b55820
hex74c430f5a

31344234330 has 64 divisors (see below), whose sum is σ = 79743191040. Its totient is φ = 7857705984.

The previous prime is 31344234221. The next prime is 31344234367. The reversal of 31344234330 is 3343244313.

It is a super-2 number, since 2×313442343302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 412231 + ... + 482309.

It is an arithmetic number, because the mean of its divisors is an integer number (1245987360).

Almost surely, 231344234330 is an apocalyptic number.

31344234330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344234330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39871595520).

31344234330 is an abundant number, since it is smaller than the sum of its proper divisors (48398956710).

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

31344234330 is a wasteful number, since it uses less digits than its factorization.

31344234330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70983.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 31344234330 its reverse (3343244313), we get a palindrome (34687478643).

The spelling of 31344234330 in words is "thirty-one billion, three hundred forty-four million, two hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 877 1754 2631 4385 5262 8770 13155 14909 26310 29818 44727 70079 74545 89454 140158 149090 210237 223635 350395 420474 447270 700790 1051185 1191343 2102370 2382686 3574029 5956715 7148058 11913430 17870145 35740290 61459283 122918566 184377849 307296415 368755698 614592830 921889245 1044807811 1843778490 2089615622 3134423433 5224039055 6268846866 10448078110 15672117165 31344234330