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34451214 = 23721761113
BaseRepresentation
bin1000001101101…
…0111100001110
32101211022011220
42003122330032
532304414324
63230224210
7565554600
oct203327416
971738156
1034451214
11184a0786
12b655066
1371a3045
14480b170
153057b79
hex20daf0e

34451214 has 96 divisors (see below), whose sum is σ = 87021216. Its totient is φ = 9031680.

The previous prime is 34451177. The next prime is 34451227. The reversal of 34451214 is 41215443.

34451214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344512142 = 2373772292147592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304822 + ... + 304934.

It is an arithmetic number, because the mean of its divisors is an integer number (906471).

Almost surely, 234451214 is an apocalyptic number.

34451214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34451214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43510608).

34451214 is an abundant number, since it is smaller than the sum of its proper divisors (52570002).

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

34451214 is a wasteful number, since it uses less digits than its factorization.

34451214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 34451214 is about 5869.5156529308. The cubic root of 34451214 is about 325.3879831918.

Adding to 34451214 its reverse (41215443), we get a palindrome (75666657).

The spelling of 34451214 in words is "thirty-four million, four hundred fifty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 61 98 102 113 119 122 147 183 226 238 294 339 357 366 427 678 714 791 833 854 1037 1281 1582 1666 1921 2074 2373 2499 2562 2989 3111 3842 4746 4998 5537 5763 5978 6222 6893 7259 8967 11074 11526 13447 13786 14518 16611 17934 20679 21777 26894 33222 40341 41358 43554 48251 50813 80682 94129 96502 101626 117181 144753 152439 188258 234362 282387 289506 304878 337757 351543 564774 675514 703086 820267 1013271 1640534 2026542 2460801 4921602 5741869 11483738 17225607 34451214