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34213010 = 251317113137
BaseRepresentation
bin1000001010000…
…0110010010010
32101101012102112
42002200302102
532224304020
63221145322
7563543246
oct202406222
971335375
1034213010
1118348817
12b55b242
13711b7b0
144788426
15300c2c5
hex20a0c92

34213010 has 64 divisors (see below), whose sum is σ = 71360352. Its totient is φ = 11698176.

The previous prime is 34212991. The next prime is 34213013. The reversal of 34213010 is 1031243.

It can be written as a sum of positive squares in 16 ways, for example, as 2209 + 34210801 = 47^2 + 5849^2 .

It is not an unprimeable number, because it can be changed into a prime (34213013) 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, 249662 + ... + 249798.

Almost surely, 234213010 is an apocalyptic number.

34213010 is an abundant number, since it is smaller than the sum of its proper divisors (37147342).

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

34213010 is a wasteful number, since it uses less digits than its factorization.

34213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34213010 is about 5849.1888326502. The cubic root of 34213010 is about 324.6363111171.

Adding to 34213010 its reverse (1031243), we get a palindrome (35244253).

The spelling of 34213010 in words is "thirty-four million, two hundred thirteen thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 113 130 137 170 221 226 274 442 565 685 1105 1130 1370 1469 1781 1921 2210 2329 2938 3562 3842 4658 7345 8905 9605 11645 14690 15481 17810 19210 23290 24973 30277 30962 49946 60554 77405 124865 151385 154810 201253 249730 263177 302770 402506 526354 1006265 1315885 2012530 2631770 3421301 6842602 17106505 34213010