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34125320 = 235853133
BaseRepresentation
bin1000001000101…
…1011000001000
32101012202010202
42002023120020
532214002240
63215231332
7563026505
oct202133010
971182122
1034125320
1118298949
12b518548
1370ba8c8
1447644ac
152ee1315
hex208b608

34125320 has 16 divisors (see below), whose sum is σ = 76782060. Its totient is φ = 13650112.

The previous prime is 34125317. The next prime is 34125323. The reversal of 34125320 is 2352143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34125317) and next prime (34125323).

It can be written as a sum of positive squares in 2 ways, for example, as 30492484 + 3632836 = 5522^2 + 1906^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34125292 and 34125301.

It is not an unprimeable number, because it can be changed into a prime (34125323) 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, 426527 + ... + 426606.

Almost surely, 234125320 is an apocalyptic number.

It is an amenable number.

34125320 is an abundant number, since it is smaller than the sum of its proper divisors (42656740).

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

34125320 is a wasteful number, since it uses less digits than its factorization.

34125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853144 (or 853140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34125320 is about 5841.6881121813. The cubic root of 34125320 is about 324.3587196980.

Adding to 34125320 its reverse (2352143), we get a palindrome (36477463).

The spelling of 34125320 in words is "thirty-four million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 853133 1706266 3412532 4265665 6825064 8531330 17062660 34125320