Search a number
-
+
34031061450 = 23252701107881
BaseRepresentation
bin11111101100011010…
…001100100111001010
310020211200110001010100
4133230122030213022
51024143422431300
623344511430230
72313215151411
oct375432144712
9106750401110
1034031061450
1113483713181
126718b25376
133294570969
14190b966478
15d42987700
hex7ec68c9ca

34031061450 has 72 divisors (see below), whose sum is σ = 91561395276. Its totient is φ = 9061920000.

The previous prime is 34031061413. The next prime is 34031061479. The reversal of 34031061450 is 5416013043.

34031061450 is a `hidden beast` number, since 3 + 40 + 3 + 1 + 0 + 614 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14546530881 + 19484530569 = 120609^2 + 139587^2 .

It is a super-2 number, since 2×340310614502 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261510 + ... + 369390.

Almost surely, 234031061450 is an apocalyptic number.

34031061450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34031061450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45780697638).

34031061450 is an abundant number, since it is smaller than the sum of its proper divisors (57530333826).

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

34031061450 is a wasteful number, since it uses less digits than its factorization.

34031061450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108600 (or 108592 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34031061450 its reverse (5416013043), we get a palindrome (39447074493).

The spelling of 34031061450 in words is "thirty-four billion, thirty-one million, sixty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 701 1402 2103 3505 4206 6309 7010 10515 12618 17525 21030 31545 35050 52575 63090 105150 107881 157725 215762 315450 323643 539405 647286 970929 1078810 1618215 1941858 2697025 3236430 4854645 5394050 8091075 9709290 16182150 24273225 48546450 75624581 151249162 226873743 378122905 453747486 680621229 756245810 1134368715 1361242458 1890614525 2268737430 3403106145 3781229050 5671843575 6806212290 11343687150 17015530725 34031061450