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20343134344 = 23132151251397
BaseRepresentation
bin10010111100100010…
…111001100010001000
31221111202012022002011
4102330202321202020
5313130320244334
613202343545304
71320056534401
oct227442714210
957452168064
1020343134344
11869a194a25
123b38a5b234
131bc27c8b00
14dadac69a8
157e0e4a564
hex4bc8b9888

20343134344 has 96 divisors (see below), whose sum is σ = 41847503040. Its totient is φ = 9266400000.

The previous prime is 20343134233. The next prime is 20343134417. The reversal of 20343134344 is 44343134302.

It is a super-3 number, since 3×203431343443 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 51241954 + ... + 51242350.

It is an arithmetic number, because the mean of its divisors is an integer number (435911490).

Almost surely, 220343134344 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 20343134344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20923751520).

20343134344 is an abundant number, since it is smaller than the sum of its proper divisors (21504368696).

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

20343134344 is a wasteful number, since it uses less digits than its factorization.

20343134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 20343134344 its reverse (44343134302), we get a palindrome (64686268646).

The spelling of 20343134344 in words is "twenty billion, three hundred forty-three million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 151 169 251 302 338 397 502 604 676 794 1004 1208 1352 1588 1963 2008 3176 3263 3926 5161 6526 7852 10322 13052 15704 20644 25519 26104 37901 41288 42419 51038 59947 67093 75802 84838 99647 102076 119894 134186 151604 169676 199294 204152 239788 268372 303208 339352 398588 479576 492713 536744 779311 797176 985426 1295411 1558622 1970852 2590822 3117244 3941704 5181644 6234488 6405269 10131043 10363288 12810538 15046697 16840343 20262086 25621076 30093394 33680686 40524172 51242152 60186788 67361372 81048344 120373576 134722744 195607061 391214122 782428244 1564856488 2542891793 5085783586 10171567172 20343134344