Search a number
-
+
34311404000 = 255324773463
BaseRepresentation
bin11111111101000111…
…100111100111100000
310021120012221220210202
4133331013213213200
51030232204412000
623432404244332
72323161056546
oct377507474740
9107505856722
1034311404000
1113607990735
1267969a06a8
13330a678223
141936c9dd96
15d5c3b1dd5
hex7fd1e79e0

34311404000 has 96 divisors (see below), whose sum is σ = 84361507776. Its totient is φ = 13715059200.

The previous prime is 34311403999. The next prime is 34311404051. The reversal of 34311404000 is 40411343.

It is a happy number.

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

It is a congruent number.

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, 9906269 + ... + 9909731.

It is an arithmetic number, because the mean of its divisors is an integer number (878765706).

Almost surely, 234311404000 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 34311404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42180753888).

34311404000 is an abundant number, since it is smaller than the sum of its proper divisors (50050103776).

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

34311404000 is a wasteful number, since it uses less digits than its factorization.

34311404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34311404000 its reverse (40411343), we get a palindrome (34351815343).

The spelling of 34311404000 in words is "thirty-four billion, three hundred eleven million, four hundred four 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 2477 3463 4000 4954 6926 9908 12385 13852 17315 19816 24770 27704 34630 39632 49540 55408 61925 69260 79264 86575 99080 110816 123850 138520 173150 198160 247700 277040 309625 346300 396320 432875 495400 554080 619250 692600 865750 990800 1238500 1385200 1731500 1981600 2477000 2770400 3463000 4954000 6926000 8577851 9908000 13852000 17155702 34311404 42889255 68622808 85778510 137245616 171557020 214446275 274491232 343114040 428892550 686228080 857785100 1072231375 1372456160 1715570200 2144462750 3431140400 4288925500 6862280800 8577851000 17155702000 34311404000