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34043223004 = 22731117133493
BaseRepresentation
bin11111101101001000…
…100101101111011100
310020212112022220122021
4133231020211233130
51024210031114004
623350024225524
72313423423010
oct375510455734
9106775286567
1034043223004
111348a56a34a
12672100b2a4
133296c3b34b
14190d410540
15d43a8ad54
hex7ed225bdc

34043223004 has 48 divisors (see below), whose sum is σ = 70344902656. Its totient is φ = 14106830400.

The previous prime is 34043222987. The next prime is 34043223007. The reversal of 34043223004 is 40032234043.

It is a self number, because there is not a number n which added to its sum of digits gives 34043223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043223007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999682 + ... + 1033174.

Almost surely, 234043223004 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 34043223004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35172451328).

34043223004 is an abundant number, since it is smaller than the sum of its proper divisors (36301679652).

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

34043223004 is a wasteful number, since it uses less digits than its factorization.

34043223004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34706 (or 34704 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34043223004 its reverse (40032234043), we get a palindrome (74075457047).

The spelling of 34043223004 in words is "thirty-four billion, forty-three million, two hundred twenty-three thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1171 2342 4684 8197 16394 32788 33493 36301 66986 72602 133972 145204 234451 254107 468902 508214 937804 1016428 1038283 2076566 4153132 7267981 14535962 29071924 39220303 78440606 156881212 274542121 549084242 1098168484 1215829393 2431658786 4863317572 8510805751 17021611502 34043223004