Search a number
-
+
34062430400 = 265269130809
BaseRepresentation
bin11111101110010001…
…110111000011000000
310020220212110202020022
4133232101313003000
51024224440233100
623351552033012
72314045611155
oct375621670300
9106825422208
1034062430400
111349a399129
126727532768
13329ac04a7b
141911bb022c
15d455d1e85
hex7ee4770c0

34062430400 has 84 divisors (see below), whose sum is σ = 83938887240. Its totient is φ = 13604812800.

The previous prime is 34062430379. The next prime is 34062430429. The reversal of 34062430400 is 403426043.

It is a self number, because there is not a number n which added to its sum of digits gives 34062430400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090196 + ... + 1121004.

Almost surely, 234062430400 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 34062430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41969443620).

34062430400 is an abundant number, since it is smaller than the sum of its proper divisors (49876456840).

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

34062430400 is a wasteful number, since it uses less digits than its factorization.

34062430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31522 (or 31507 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34062430400 its reverse (403426043), we get a palindrome (34465856443).

The spelling of 34062430400 in words is "thirty-four billion, sixty-two million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 691 800 1382 1600 2764 3455 5528 6910 11056 13820 17275 22112 27640 30809 34550 44224 55280 61618 69100 110560 123236 138200 154045 221120 246472 276400 308090 492944 552800 616180 770225 985888 1105600 1232360 1540450 1971776 2464720 3080900 4929440 6161800 9858880 12323600 21289019 24647200 42578038 49294400 85156076 106445095 170312152 212890190 340624304 425780380 532225475 681248608 851560760 1064450950 1362497216 1703121520 2128901900 3406243040 4257803800 6812486080 8515607600 17031215200 34062430400