Search a number
-
+
34315405120 = 265107235641
BaseRepresentation
bin11111111101010110…
…111000011101000000
310021120111111012022101
4133331112320131000
51030234220430440
623433030120144
72323240062613
oct377526703500
9107514435271
1034315405120
111360a173847
1267981b0054
13330b449459
14193762217a
15d5c90269a
hex7fd5b8740

34315405120 has 28 divisors (see below), whose sum is σ = 81713559204. Its totient is φ = 13726161920.

The previous prime is 34315405087. The next prime is 34315405123. The reversal of 34315405120 is 2150451343.

It can be written as a sum of positive squares in 2 ways, for example, as 19227704896 + 15087700224 = 138664^2 + 122832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34315405123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53617501 + ... + 53618140.

Almost surely, 234315405120 is an apocalyptic number.

It is an amenable number.

34315405120 is an abundant number, since it is smaller than the sum of its proper divisors (47398154084).

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

34315405120 is a wasteful number, since it uses less digits than its factorization.

34315405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107235658 (or 107235648 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 34315405120 its reverse (2150451343), we get a palindrome (36465856463).

The spelling of 34315405120 in words is "thirty-four billion, three hundred fifteen million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 107235641 214471282 428942564 536178205 857885128 1072356410 1715770256 2144712820 3431540512 4289425640 6863081024 8578851280 17157702560 34315405120