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34025205324 = 22311271330047
BaseRepresentation
bin11111101100000011…
…110110111001001100
310020211021102112000210
4133230003312321030
51024140423032244
623344142122420
72313114321225
oct375403667114
9106737375023
1034025205324
1113480383400
126716b80410
1332932a02b6
14190ac8024c
15d421cc4b9
hex7ec0f6e4c

34025205324 has 72 divisors (see below), whose sum is σ = 88495110144. Its totient is φ = 10165416800.

The previous prime is 34025205317. The next prime is 34025205343. The reversal of 34025205324 is 42350252043.

It is a junction number, because it is equal to n+sod(n) for n = 34025205291 and 34025205300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61932 + ... + 268115.

It is an arithmetic number, because the mean of its divisors is an integer number (1229098752).

Almost surely, 234025205324 is an apocalyptic number.

It is an amenable number.

34025205324 is an abundant number, since it is smaller than the sum of its proper divisors (54469904820).

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

34025205324 is a wasteful number, since it uses less digits than its factorization.

34025205324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330147 (or 330134 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34025205324 its reverse (42350252043), we get a palindrome (76375457367).

The spelling of 34025205324 in words is "thirty-four billion, twenty-five million, two hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 726 781 852 1452 1562 2343 3124 4686 8591 9372 17182 25773 34364 51546 103092 330047 660094 990141 1320188 1980282 3630517 3960564 7261034 10891551 14522068 21783102 23433337 39935687 43566204 46866674 70300011 79871374 93733348 119807061 140600022 159742748 239614122 257766707 281200044 479228244 515533414 773300121 1031066828 1546600242 2835433777 3093200484 5670867554 8506301331 11341735108 17012602662 34025205324