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34214525 = 523533877
BaseRepresentation
bin1000001010000…
…1001001111101
32101101021111122
42002201021331
532224331100
63221200325
7563550542
oct202411175
971337448
1034214525
1118349974
12b5600a5
13711c3a7
144788bc9
15300c985
hex20a127d

34214525 has 12 divisors (see below), whose sum is σ = 42557172. Its totient is φ = 27287040.

The previous prime is 34214507. The next prime is 34214527. The reversal of 34214525 is 52541243.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3334276 + 30880249 = 1826^2 + 5557^2 .

It is not a de Polignac number, because 34214525 - 218 = 33952381 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34214494 and 34214503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6887 + ... + 10763.

It is an arithmetic number, because the mean of its divisors is an integer number (3546431).

Almost surely, 234214525 is an apocalyptic number.

It is an amenable number.

34214525 is a deficient number, since it is larger than the sum of its proper divisors (8342647).

34214525 is a wasteful number, since it uses less digits than its factorization.

34214525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4235 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 34214525 is about 5849.3183363534. The cubic root of 34214525 is about 324.6411028299.

Adding to 34214525 its reverse (52541243), we get a palindrome (86755768).

The spelling of 34214525 in words is "thirty-four million, two hundred fourteen thousand, five hundred twenty-five".

Divisors: 1 5 25 353 1765 3877 8825 19385 96925 1368581 6842905 34214525