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34042442200 = 23521317770191
BaseRepresentation
bin11111101101000101…
…100111000111011000
310020212110212020120121
4133231011213013120
51024204331122300
623345555403024
72313413661424
oct375505470730
9106773766517
1034042442200
111348a086758
1267208b3474
133296a26b30
14190d289b84
15d4398481a
hex7ed1671d8

34042442200 has 96 divisors (see below), whose sum is σ = 90251098560. Its totient is φ = 11830118400.

The previous prime is 34042442107. The next prime is 34042442233. The reversal of 34042442200 is 224424043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340896 + ... + 429295.

It is an arithmetic number, because the mean of its divisors is an integer number (940115610).

Almost surely, 234042442200 is an apocalyptic number.

It is an amenable number.

34042442200 is an abundant number, since it is smaller than the sum of its proper divisors (56208656360).

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

34042442200 is a wasteful number, since it uses less digits than its factorization.

34042442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770237 (or 770228 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 34042442200 its reverse (224424043), we get a palindrome (34266866243).

The spelling of 34042442200 in words is "thirty-four billion, forty-two million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 770191 1540382 3080764 3850955 6161528 7701910 10012483 13093247 15403820 19254775 20024966 26186494 30807640 38509550 40049932 50062415 52372988 65466235 77019100 80099864 100124830 104745976 130932470 154038200 170212211 200249660 250312075 261864940 327331175 340424422 400499320 500624150 523729880 654662350 680848844 851061055 1001248300 1309324700 1361697688 1702122110 2002496600 2618649400 3404244220 4255305275 6808488440 8510610550 17021221100 34042442200