Search a number
-
+
34321134030 = 23541193144577
BaseRepresentation
bin11111111101101100…
…101111000111001110
310021120220021020220020
4133331230233013032
51030242202242110
623433353003010
72323336553151
oct377554570716
9107526236806
1034321134030
1113612426a87
12679a0b3466
13330c6a3c41
1419382b3c98
15d5d184d70
hex7fdb2f1ce

34321134030 has 64 divisors (see below), whose sum is σ = 84817551168. Its totient is φ = 8882749440.

The previous prime is 34321133999. The next prime is 34321134031. The reversal of 34321134030 is 3043112343.

It is a super-2 number, since 2×343211340302 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321134031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165102 + ... + 309678.

It is an arithmetic number, because the mean of its divisors is an integer number (1325274237).

Almost surely, 234321134030 is an apocalyptic number.

34321134030 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 34321134030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408775584).

34321134030 is an abundant number, since it is smaller than the sum of its proper divisors (50496417138).

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

34321134030 is a wasteful number, since it uses less digits than its factorization.

34321134030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144821.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34321134030 its reverse (3043112343), we get a palindrome (37364246373).

The spelling of 34321134030 in words is "thirty-four billion, three hundred twenty-one million, one hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 193 205 246 386 410 579 615 965 1158 1230 1930 2895 5790 7913 15826 23739 39565 47478 79130 118695 144577 237390 289154 433731 722885 867462 1445770 2168655 4337310 5927657 11855314 17782971 27903361 29638285 35565942 55806722 59276570 83710083 88914855 139516805 167420166 177829710 279033610 418550415 837100830 1144037801 2288075602 3432113403 5720189005 6864226806 11440378010 17160567015 34321134030