Search a number
-
+
34350331444 = 221113173532531
BaseRepresentation
bin11111111111011100…
…000111011000110100
310021122221012122012221
4133333130013120310
51030322141101234
623440314452124
72324142666622
oct377734073064
9107587178187
1034350331444
1113627959480
1267a7a34044
133315757810
14193c114512
15d60a00eb4
hex7ff707634

34350331444 has 48 divisors (see below), whose sum is σ = 74776637376. Its totient is φ = 13564915200.

The previous prime is 34350331403. The next prime is 34350331453. The reversal of 34350331444 is 44413305343.

It is a super-3 number, since 3×343503314443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756542 + ... + 1775989.

It is an arithmetic number, because the mean of its divisors is an integer number (1557846612).

Almost surely, 234350331444 is an apocalyptic number.

34350331444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34350331444 is an abundant number, since it is smaller than the sum of its proper divisors (40426305932).

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

34350331444 is a wasteful number, since it uses less digits than its factorization.

34350331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532576 (or 3532574 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 34350331444 its reverse (44413305343), we get a palindrome (78763636787).

The spelling of 34350331444 in words is "thirty-four billion, three hundred fifty million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 748 884 2431 4862 9724 3532531 7065062 14130124 38857841 45922903 60053027 77715682 91845806 120106054 155431364 183691612 240212108 505151933 660583297 780689351 1010303866 1321166594 1561378702 2020607732 2642333188 3122757404 8587582861 17175165722 34350331444