Search a number
-
+
34310424400 = 2452712253723
BaseRepresentation
bin11111111101000011…
…111000011101010000
310021120011010011001021
4133331003320131100
51030231432040100
623432331245224
72323146536560
oct377503703520
9107504104037
1034310424400
111360738174a
1267965a9814
13330a3c4395
141936ac6da0
15d5c26ba1a
hex7fd0f8750

34310424400 has 60 divisors (see below), whose sum is σ = 94206630112. Its totient is φ = 11763573120.

The previous prime is 34310424377. The next prime is 34310424413. The reversal of 34310424400 is 442401343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 6124062 + ... + 6129661.

Almost surely, 234310424400 is an apocalyptic number.

It is an amenable number.

34310424400 is an abundant number, since it is smaller than the sum of its proper divisors (59896205712).

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

34310424400 is a wasteful number, since it uses less digits than its factorization.

34310424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253748 (or 12253737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34310424400 its reverse (442401343), we get a palindrome (34752825743).

The spelling of 34310424400 in words is "thirty-four billion, three hundred ten million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 12253723 24507446 49014892 61268615 85776061 98029784 122537230 171552122 196059568 245074460 306343075 343104244 428880305 490148920 612686150 686208488 857760610 980297840 1225372300 1372416976 1715521220 2144401525 2450744600 3431042440 4288803050 4901489200 6862084880 8577606100 17155212200 34310424400