Search a number
-
+
3440081232 = 243376716979
BaseRepresentation
bin1100110100001011…
…0111100101010000
322212202010020022000
43031002313211100
524021130044412
61325204514000
7151151131230
oct31502674520
98782106260
103440081232
111505921a45
128000ab900
1342a91a633
14248c41cc0
151520234dc
hexcd0b7950

3440081232 has 160 divisors (see below), whose sum is σ = 11454028800. Its totient is φ = 968153472.

The previous prime is 3440081231. The next prime is 3440081251. The reversal of 3440081232 is 2321800443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3440081196 and 3440081205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440081231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194119 + ... + 211097.

It is an arithmetic number, because the mean of its divisors is an integer number (71587680).

Almost surely, 23440081232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440081232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727014400).

3440081232 is an abundant number, since it is smaller than the sum of its proper divisors (8013947568).

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

3440081232 is a wasteful number, since it uses less digits than its factorization.

3440081232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17070 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3440081232 is about 58652.2056874249. The cubic root of 3440081232 is about 1509.5803450571.

Adding to 3440081232 its reverse (2321800443), we get a palindrome (5761881675).

The spelling of 3440081232 in words is "three billion, four hundred forty million, eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 67 72 84 108 112 126 134 144 168 189 201 216 252 268 336 378 402 432 469 504 536 603 756 804 938 1008 1072 1206 1407 1512 1608 1809 1876 2412 2814 3024 3216 3618 3752 4221 4824 5628 7236 7504 8442 9648 11256 12663 14472 16884 16979 22512 25326 28944 33768 33958 50652 50937 67536 67916 101304 101874 118853 135832 152811 202608 203748 237706 271664 305622 356559 407496 458433 475412 611244 713118 814992 916866 950824 1069677 1137593 1222488 1426236 1833732 1901648 2139354 2275186 2444976 2852472 3209031 3412779 3667464 4278708 4550372 5704944 6418062 6825558 7334928 7963151 8557416 9100744 10238337 12836124 13651116 15926302 17114832 18201488 20476674 23889453 25672248 27302232 30715011 31852604 40953348 47778906 51344496 54604464 61430022 63705208 71668359 81906696 95557812 122860044 127410416 143336718 163813392 191115624 215005077 245720088 286673436 382231248 430010154 491440176 573346872 860020308 1146693744 1720040616 3440081232