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34668468 = 22325771669
BaseRepresentation
bin1000010000111…
…1111110110100
32102020100012100
42010033332310
532333342333
63235022100
7600451152
oct204177664
972210170
1034668468
1118629a2a
12b73a930
13724abb3
1448663d2
15309c213
hex210ffb4

34668468 has 36 divisors (see below), whose sum is σ = 87838660. Its totient is φ = 11529216.

The previous prime is 34668467. The next prime is 34668481. The reversal of 34668468 is 86486643.

It can be written as a sum of positive squares in 2 ways, for example, as 28965924 + 5702544 = 5382^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34668467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19938 + ... + 21606.

Almost surely, 234668468 is an apocalyptic number.

It is an amenable number.

34668468 is an abundant number, since it is smaller than the sum of its proper divisors (53170192).

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

34668468 is a wasteful number, since it uses less digits than its factorization.

34668468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2251 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 34668468 is about 5887.9935461921. The cubic root of 34668468 is about 326.0705306138.

The spelling of 34668468 in words is "thirty-four million, six hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1669 1731 2308 3338 3462 5007 5193 6676 6924 10014 10386 15021 20028 20772 30042 60084 963013 1926026 2889039 3852052 5778078 8667117 11556156 17334234 34668468