Search a number
-
+
34013043444 = 2236598834871
BaseRepresentation
bin11111101011010101…
…011101101011110100
310020210102112122001210
4133223111131223310
51024124314342234
623343025321420
72312606045652
oct375325355364
9106712478053
1034013043444
1113474526a66
126712a96270
133290902713
1419093d5dd2
15d410c8be9
hex7eb55daf4

34013043444 has 48 divisors (see below), whose sum is σ = 79590551040. Its totient is φ = 11305334880.

The previous prime is 34013043433. The next prime is 34013043503. The reversal of 34013043444 is 44434031043.

It is a super-2 number, since 2×340130434442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6980329 + ... + 6985199.

It is an arithmetic number, because the mean of its divisors is an integer number (1658136480).

Almost surely, 234013043444 is an apocalyptic number.

It is an amenable number.

34013043444 is an abundant number, since it is smaller than the sum of its proper divisors (45577507596).

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

34013043444 is a wasteful number, since it uses less digits than its factorization.

34013043444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34013043444 its reverse (44434031043), we get a palindrome (78447074487).

The spelling of 34013043444 in words is "thirty-four billion, thirteen million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 659 883 1318 1766 1977 2636 2649 3532 3954 4871 5298 7908 9742 10596 14613 19484 29226 58452 581897 1163794 1745691 2327588 3209989 3491382 4301093 6419978 6982764 8602186 9629967 12839956 12903279 17204372 19259934 25806558 38519868 51613116 2834420287 5668840574 8503260861 11337681148 17006521722 34013043444