Search a number
-
+
34112103040 = 27553300161
BaseRepresentation
bin11111110001001111…
…010110001010000000
310021001022221101021201
4133301033112022000
51024330144244130
623400524430544
72315221043311
oct376117261200
9107038841251
1034112103040
11135154359a4
1267400a8454
1332a82a7172
141918620608
15d49b44bca
hex7f13d6280

34112103040 has 32 divisors (see below), whose sum is σ = 81549247860. Its totient is φ = 13644840960.

The previous prime is 34112103029. The next prime is 34112103041. The reversal of 34112103040 is 4030121143.

It can be written as a sum of positive squares in 2 ways, for example, as 31778053696 + 2334049344 = 178264^2 + 48312^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 34112102999 and 34112103017.

It is not an unprimeable number, because it can be changed into a prime (34112103041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26649441 + ... + 26650720.

Almost surely, 234112103040 is an apocalyptic number.

It is an amenable number.

34112103040 is an abundant number, since it is smaller than the sum of its proper divisors (47437144820).

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

34112103040 is an equidigital number, since it uses as much as digits as its factorization.

34112103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53300180 (or 53300168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34112103040 its reverse (4030121143), we get a palindrome (38142224183).

The spelling of 34112103040 in words is "thirty-four billion, one hundred twelve million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 53300161 106600322 213200644 266500805 426401288 533001610 852802576 1066003220 1705605152 2132006440 3411210304 4264012880 6822420608 8528025760 17056051520 34112103040