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34219640 = 23572131779
BaseRepresentation
bin1000001010001…
…0011001111000
32101101112112002
42002202121320
532230012030
63221240132
7563601500
oct202423170
971345462
1034219640
11183527a4
12b563048
137121810
14478aa00
15300e245
hex20a2678

34219640 has 192 divisors, whose sum is σ = 103420800. Its totient is φ = 10063872.

The previous prime is 34219639. The next prime is 34219643. The reversal of 34219640 is 4691243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34219643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433121 + ... + 433199.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 234219640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34219640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

34219640 is an abundant number, since it is smaller than the sum of its proper divisors (69201160).

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

34219640 is a wasteful number, since it uses less digits than its factorization.

34219640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 34219640 is about 5849.7555504482. The cubic root of 34219640 is about 324.6572797460.

The spelling of 34219640 in words is "thirty-four million, two hundred nineteen thousand, six hundred forty".