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34125030 = 2335211599
BaseRepresentation
bin1000001000101…
…1010011100110
32101012201202000
42002023103212
532214000110
63215230130
7563025612
oct202132346
971181660
1034125030
1118298705
12b518346
1370ba734
144764342
152ee11c0
hex208b4e6

34125030 has 64 divisors (see below), whose sum is σ = 91584000. Its totient is φ = 9041760.

The previous prime is 34124977. The next prime is 34125053. The reversal of 34125030 is 3052143.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 34124994 and 34125012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56671 + ... + 57269.

It is an arithmetic number, because the mean of its divisors is an integer number (1431000).

Almost surely, 234125030 is an apocalyptic number.

34125030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34125030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45792000).

34125030 is an abundant number, since it is smaller than the sum of its proper divisors (57458970).

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

34125030 is a wasteful number, since it uses less digits than its factorization.

34125030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34125030 is about 5841.6632905364. The cubic root of 34125030 is about 324.3578008857.

Adding to 34125030 its reverse (3052143), we get a palindrome (37177173).

The spelling of 34125030 in words is "thirty-four million, one hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 422 599 633 1055 1198 1266 1797 1899 2110 2995 3165 3594 3798 5391 5697 5990 6330 8985 9495 10782 11394 16173 17970 18990 26955 28485 32346 53910 56970 80865 126389 161730 252778 379167 631945 758334 1137501 1263890 1895835 2275002 3412503 3791670 5687505 6825006 11375010 17062515 34125030