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34125104 = 2413359457
BaseRepresentation
bin1000001000101…
…1010100110000
32101012201211202
42002023110300
532214000404
63215230332
7563026046
oct202132460
971181752
1034125104
1118298772
12b5183a8
1370ba790
144764396
152ee121e
hex208b530

34125104 has 40 divisors (see below), whose sum is σ = 71557920. Its totient is φ = 15671808.

The previous prime is 34125089. The next prime is 34125109. The reversal of 34125104 is 40152143.

It is not an unprimeable number, because it can be changed into a prime (34125109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74444 + ... + 74900.

It is an arithmetic number, because the mean of its divisors is an integer number (1788948).

Almost surely, 234125104 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 34125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35778960).

34125104 is an abundant number, since it is smaller than the sum of its proper divisors (37432816).

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

34125104 is a wasteful number, since it uses less digits than its factorization.

34125104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 34125104 is about 5841.6696243454. The cubic root of 34125104 is about 324.3580353417.

Adding to 34125104 its reverse (40152143), we get a palindrome (74277247).

The spelling of 34125104 in words is "thirty-four million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 359 457 718 914 1436 1828 2872 3656 4667 5744 5941 7312 9334 11882 18668 23764 37336 47528 74672 95056 164063 328126 656252 1312504 2132819 2625008 4265638 8531276 17062552 34125104