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34031250 = 23256112
BaseRepresentation
bin1000000111010…
…0011010010010
32101000222002200
42001310122102
532203000000
63213224030
7562155321
oct201643222
971028080
1034031250
1118234200
12b492016
137086b46
14473c0b8
152ec3500
hex2074692

34031250 has 126 divisors (see below), whose sum is σ = 101307297. Its totient is φ = 8250000.

The previous prime is 34031233. The next prime is 34031251. The reversal of 34031250 is 5213043.

34031250 = T106 + T107 + ... + T589.

It can be written as a sum of positive squares in 4 ways, for example, as 5803281 + 28227969 = 2409^2 + 5313^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4125.

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

It is not an unprimeable number, because it can be changed into a prime (34031251) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3093745 + ... + 3093755.

Almost surely, 234031250 is an apocalyptic number.

34031250 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 34031250

34031250 is an abundant number, since it is smaller than the sum of its proper divisors (67276047).

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

34031250 is an equidigital number, since it uses as much as digits as its factorization.

34031250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

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

The square root of 34031250 is about 5833.6309447890. The cubic root of 34031250 is about 324.0604025475.

Multiplying 34031250 by its sum of digits (18), we get a square (612562500 = 247502).

34031250 divided by its sum of digits (18) gives a square (1890625 = 13752).

Adding to 34031250 its reverse (5213043), we get a palindrome (39244293).

The spelling of 34031250 in words is "thirty-four million, thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 125 150 165 198 225 242 250 275 330 363 375 450 495 550 605 625 726 750 825 990 1089 1125 1210 1250 1375 1650 1815 1875 2178 2250 2475 2750 3025 3125 3630 3750 4125 4950 5445 5625 6050 6250 6875 8250 9075 9375 10890 11250 12375 13750 15125 15625 18150 18750 20625 24750 27225 28125 30250 31250 34375 41250 45375 46875 54450 56250 61875 68750 75625 90750 93750 103125 123750 136125 140625 151250 171875 206250 226875 272250 281250 309375 343750 378125 453750 515625 618750 680625 756250 1031250 1134375 1361250 1546875 1890625 2268750 3093750 3403125 3781250 5671875 6806250 11343750 17015625 34031250