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34808010 = 23517131521
BaseRepresentation
bin1000010011001…
…0000011001010
32102111102121120
42010302003022
532402324020
63242020110
7601602036
oct204620312
972442546
1034808010
1118714856
12b7a7636
137299573
1448a11c6
1530c8740
hex21320ca

34808010 has 64 divisors (see below), whose sum is σ = 89299584. Its totient is φ = 8652800.

The previous prime is 34807973. The next prime is 34808017. The reversal of 34808010 is 1080843.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34808017) 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, 66550 + ... + 67070.

It is an arithmetic number, because the mean of its divisors is an integer number (1395306).

Almost surely, 234808010 is an apocalyptic number.

34808010 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 34808010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44649792).

34808010 is an abundant number, since it is smaller than the sum of its proper divisors (54491574).

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

34808010 is a wasteful number, since it uses less digits than its factorization.

34808010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 34808010 is about 5899.8313535219. The cubic root of 34808010 is about 326.5074273634.

Adding to 34808010 its reverse (1080843), we get a palindrome (35888853).

The spelling of 34808010 in words is "thirty-four million, eight hundred eight thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 131 170 255 262 393 510 521 655 786 1042 1310 1563 1965 2227 2605 3126 3930 4454 5210 6681 7815 8857 11135 13362 15630 17714 22270 26571 33405 44285 53142 66810 68251 88570 132855 136502 204753 265710 341255 409506 682510 1023765 1160267 2047530 2320534 3480801 5801335 6961602 11602670 17404005 34808010