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34242212000 = 255322513803
BaseRepresentation
bin11111111000111111…
…101011000010100000
310021101101202121020002
4133320333223002200
51030112001241000
623421453235132
72321360666603
oct377077530240
9107341677202
1034242212000
1113581921767
126777792aa8
1332c9230409
14192ba0c33a
15d562958d5
hex7f8feb0a0

34242212000 has 96 divisors (see below), whose sum is σ = 84192623424. Its totient is φ = 13687200000.

The previous prime is 34242211933. The next prime is 34242212033. The reversal of 34242212000 is 21224243.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9002099 + ... + 9005901.

It is an arithmetic number, because the mean of its divisors is an integer number (877006494).

Almost surely, 234242212000 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 34242212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42096311712).

34242212000 is an abundant number, since it is smaller than the sum of its proper divisors (49950411424).

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

34242212000 is a wasteful number, since it uses less digits than its factorization.

34242212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34242212000 its reverse (21224243), we get a palindrome (34263436243).

The spelling of 34242212000 in words is "thirty-four billion, two hundred forty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2251 3803 4000 4502 7606 9004 11255 15212 18008 19015 22510 30424 36016 38030 45020 56275 60848 72032 76060 90040 95075 112550 121696 152120 180080 190150 225100 281375 304240 360160 380300 450200 475375 562750 608480 760600 900400 950750 1125500 1521200 1800800 1901500 2251000 3042400 3803000 4502000 7606000 8560553 9004000 15212000 17121106 34242212 42802765 68484424 85605530 136968848 171211060 214013825 273937696 342422120 428027650 684844240 856055300 1070069125 1369688480 1712110600 2140138250 3424221200 4280276500 6848442400 8560553000 17121106000 34242212000