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34444521 = 36371277
BaseRepresentation
bin1000001101100…
…1010011101001
32101210222000000
42003121103221
532304211041
63230133213
7565526226
oct203312351
971728000
1034444521
1118496751
12b651209
13719cc97
14480894d
153055bb6
hex20d94e9

34444521 has 28 divisors (see below), whose sum is σ = 53080452. Its totient is φ = 22324896.

The previous prime is 34444483. The next prime is 34444523. The reversal of 34444521 is 12544443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27154521 + 7290000 = 5211^2 + 2700^2 .

It is not a de Polignac number, because 34444521 - 221 = 32347369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444523) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26335 + ... + 27611.

Almost surely, 234444521 is an apocalyptic number.

It is an amenable number.

34444521 is a deficient number, since it is larger than the sum of its proper divisors (18635931).

34444521 is an equidigital number, since it uses as much as digits as its factorization.

34444521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 34444521 is about 5868.9454759778. The cubic root of 34444521 is about 325.3669102739.

Adding to 34444521 its reverse (12544443), we get a palindrome (46988964).

The spelling of 34444521 in words is "thirty-four million, four hundred forty-four thousand, five hundred twenty-one".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1277 2997 3831 8991 11493 26973 34479 47249 103437 141747 310311 425241 930933 1275723 3827169 11481507 34444521