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34242132 = 22347109557
BaseRepresentation
bin1000001010011…
…1111001010100
32101102200101010
42002213321110
532231222012
63221532220
7564024201
oct202477124
971380333
1034242132
1118368691
12b574070
13712bb22
144794ca8
153015c3c
hex20a7e54

34242132 has 48 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 11048832.

The previous prime is 34242113. The next prime is 34242133. The reversal of 34242132 is 23124243.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34242099 and 34242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61198 + ... + 61754.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 234242132 is an apocalyptic number.

It is an amenable number.

34242132 is an abundant number, since it is smaller than the sum of its proper divisors (48252588).

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

34242132 is a wasteful number, since it uses less digits than its factorization.

34242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 34242132 is about 5851.6777081449. The cubic root of 34242132 is about 324.7283947767.

Adding to 34242132 its reverse (23124243), we get a palindrome (57366375).

The spelling of 34242132 in words is "thirty-four million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 109 141 188 218 282 327 436 557 564 654 1114 1308 1671 2228 3342 5123 6684 10246 15369 20492 26179 30738 52358 60713 61476 78537 104716 121426 157074 182139 242852 314148 364278 728556 2853511 5707022 8560533 11414044 17121066 34242132