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34020320440 = 235173710712637
BaseRepresentation
bin11111101011110001…
…001110010010111000
310020210221020100020011
4133223301032102320
51024133200223230
623343445311304
72313024644461
oct375361162270
9106727210204
1034020320440
1113478647307
126715405534
13329227ca32
14190a36bd68
15d41a64e2a
hex7ebc4e4b8

34020320440 has 128 divisors (see below), whose sum is σ = 84023490240. Its totient is φ = 12344057856.

The previous prime is 34020320417. The next prime is 34020320513. The reversal of 34020320440 is 4402302043.

It is a congruent number.

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, 2685802 + ... + 2698438.

Almost surely, 234020320440 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 34020320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42011745120).

34020320440 is an abundant number, since it is smaller than the sum of its proper divisors (50003169800).

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

34020320440 is a wasteful number, since it uses less digits than its factorization.

34020320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12809 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 34020320440 its reverse (4402302043), we get a palindrome (38422622483).

The spelling of 34020320440 in words is "thirty-four billion, twenty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 107 136 148 170 185 214 296 340 370 428 535 629 680 740 856 1070 1258 1480 1819 2140 2516 3145 3638 3959 4280 5032 6290 7276 7918 9095 12580 12637 14552 15836 18190 19795 25160 25274 31672 36380 39590 50548 63185 67303 72760 79180 101096 126370 134606 158360 214829 252740 269212 336515 429658 467569 505480 538424 673030 859316 935138 1074145 1346060 1352159 1718632 1870276 2148290 2337845 2692120 2704318 3740552 4296580 4675690 5408636 6760795 7948673 8593160 9351380 10817272 13521590 15897346 18702760 22986703 27043180 31794692 39743365 45973406 50029883 54086360 63589384 79486730 91946812 100059766 114933515 158973460 183893624 200119532 229867030 250149415 317946920 400239064 459734060 500298830 850508011 919468120 1000597660 1701016022 2001195320 3402032044 4252540055 6804064088 8505080110 17010160220 34020320440