Search a number
-
+
34231541530 = 251797221401
BaseRepresentation
bin11111111000010110…
…111101111100011010
310021100122200111002111
4133320112331330122
51030101233312110
623420432422534
72321201205424
oct377026757432
9107318614074
1034231541530
11135768a389a
1267740a7a4a
1332c6c65624
14192a431814
15d55388e8a
hex7f85bdf1a

34231541530 has 48 divisors (see below), whose sum is σ = 65923895736. Its totient is φ = 12753715200.

The previous prime is 34231541497. The next prime is 34231541549. The reversal of 34231541530 is 3514513243.

It can be written as a sum of positive squares in 12 ways, for example, as 2345368041 + 31886173489 = 48429^2 + 178567^2 .

It is a super-2 number, since 2×342315415302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34231541492 and 34231541501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588830 + ... + 1610230.

Almost surely, 234231541530 is an apocalyptic number.

34231541530 is a deficient number, since it is larger than the sum of its proper divisors (31692354206).

34231541530 is a wasteful number, since it uses less digits than its factorization.

34231541530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21619 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 34231541530 in words is "thirty-four billion, two hundred thirty-one million, five hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 5 10 17 34 85 97 170 194 485 970 1649 3298 8245 9409 16490 18818 21401 42802 47045 94090 107005 159953 214010 319906 363817 727634 799765 1599530 1819085 2075897 3638170 4151794 10379485 20758970 35290249 70580498 176451245 201362009 352902490 402724018 1006810045 2013620090 3423154153 6846308306 17115770765 34231541530