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34125416 = 2313328129
BaseRepresentation
bin1000001000101…
…1011001101000
32101012202021022
42002023121220
532214003131
63215232012
7563030003
oct202133150
971182238
1034125416
1118298a26
12b518608
1370ba970
14476453a
152ee137b
hex208b668

34125416 has 16 divisors (see below), whose sum is σ = 68907300. Its totient is φ = 15750144.

The previous prime is 34125401. The next prime is 34125419. The reversal of 34125416 is 61452143.

It can be written as a sum of positive squares in 2 ways, for example, as 27520516 + 6604900 = 5246^2 + 2570^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34125419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163961 + ... + 164168.

Almost surely, 234125416 is an apocalyptic number.

It is an amenable number.

34125416 is an abundant number, since it is smaller than the sum of its proper divisors (34781884).

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

34125416 is a wasteful number, since it uses less digits than its factorization.

34125416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328148 (or 328144 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 34125416 is about 5841.6963289784. The cubic root of 34125416 is about 324.3590238554.

Adding to 34125416 its reverse (61452143), we get a palindrome (95577559).

The spelling of 34125416 in words is "thirty-four million, one hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 328129 656258 1312516 2625032 4265677 8531354 17062708 34125416