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34142500 = 225471951
BaseRepresentation
bin1000001000111…
…1100100100100
32101020121201001
42002033210210
532220030000
63215443044
7563130550
oct202174444
971217631
1034142500
11182aa847
12b526484
1370c5682
14476a860
152ee646a
hex208f924

34142500 has 60 divisors (see below), whose sum is σ = 85372672. Its totient is φ = 11700000.

The previous prime is 34142489. The next prime is 34142503. The reversal of 34142500 is 524143.

It is not an unprimeable number, because it can be changed into a prime (34142503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16525 + ... + 18475.

Almost surely, 234142500 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 34142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42686336).

34142500 is an abundant number, since it is smaller than the sum of its proper divisors (51230172).

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

34142500 is a wasteful number, since it uses less digits than its factorization.

34142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 34142500 is about 5843.1583925134. The cubic root of 34142500 is about 324.4131421223.

Adding to 34142500 its reverse (524143), we get a palindrome (34666643).

The spelling of 34142500 in words is "thirty-four million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1250 1750 1951 2500 3500 3902 4375 7804 8750 9755 13657 17500 19510 27314 39020 48775 54628 68285 97550 136570 195100 243875 273140 341425 487750 682850 975500 1219375 1365700 1707125 2438750 3414250 4877500 6828500 8535625 17071250 34142500