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34114120 = 2351944887
BaseRepresentation
bin1000001000100…
…0101001001000
32101012011202221
42002020221020
532213122440
63215103424
7562652035
oct202105110
971164687
1034114120
1118290497
12b511b74
1370b5791
14476038c
152edcd4a
hex2088a48

34114120 has 32 divisors (see below), whose sum is σ = 80798400. Its totient is φ = 12927168.

The previous prime is 34114117. The next prime is 34114123. The reversal of 34114120 is 2141143.

It is an interprime number because it is at equal distance from previous prime (34114117) and next prime (34114123).

It is a junction number, because it is equal to n+sod(n) for n = 34114094 and 34114103.

It is not an unprimeable number, because it can be changed into a prime (34114123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21684 + ... + 23203.

It is an arithmetic number, because the mean of its divisors is an integer number (2524950).

Almost surely, 234114120 is an apocalyptic number.

It is an amenable number.

34114120 is an abundant number, since it is smaller than the sum of its proper divisors (46684280).

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

34114120 is a wasteful number, since it uses less digits than its factorization.

34114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44917 (or 44913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 34114120 is about 5840.7294065040. The cubic root of 34114120 is about 324.3232307496.

Adding to 34114120 its reverse (2141143), we get a palindrome (36255263).

The spelling of 34114120 in words is "thirty-four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 44887 89774 179548 224435 359096 448870 852853 897740 1705706 1795480 3411412 4264265 6822824 8528530 17057060 34114120