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34221636420 = 22357311369143
BaseRepresentation
bin11111110111110001…
…001011101101000100
310021022222001020211120
4133313301023231010
51030041214331140
623415440233540
72321021052516
oct376761135504
9107288036746
1034221636420
1113571248a54
12677090b8b0
1332c4ba800a
141928db3bb6
15d5457e1d0
hex7f7c4bb44

34221636420 has 96 divisors (see below), whose sum is σ = 97994195712. Its totient is φ = 8920977408.

The previous prime is 34221636401. The next prime is 34221636433. The reversal of 34221636420 is 2463612243.

It is a super-2 number, since 2×342216364202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460369 + ... + 529511.

It is an arithmetic number, because the mean of its divisors is an integer number (1020772872).

Almost surely, 234221636420 is an apocalyptic number.

34221636420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221636420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48997097856).

34221636420 is an abundant number, since it is smaller than the sum of its proper divisors (63772559292).

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

34221636420 is a wasteful number, since it uses less digits than its factorization.

34221636420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69341 (or 69339 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34221636420 in words is "thirty-four billion, two hundred twenty-one million, six hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 113 146 219 226 292 339 365 438 452 565 678 730 876 1095 1130 1356 1460 1695 2190 2260 3390 4380 6780 8249 16498 24747 32996 41245 49494 69143 82490 98988 123735 138286 164980 207429 247470 276572 345715 414858 494940 691430 829716 1037145 1382860 2074290 4148580 5047439 7813159 10094878 15142317 15626318 20189756 23439477 25237195 30284634 31252636 39065795 46878954 50474390 60569268 75711585 78131590 93757908 100948780 117197385 151423170 156263180 234394770 302846340 468789540 570360607 1140721214 1711081821 2281442428 2851803035 3422163642 5703606070 6844327284 8555409105 11407212140 17110818210 34221636420