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3412500 = 22355713
BaseRepresentation
bin1101000001001000010100
320102101001220
431001020110
51333200000
6201050340
741001660
oct15011024
96371056
103412500
111a20953
1211869b0
13926340
1464b8a0
154761a0
hex341214

3412500 has 144 divisors (see below), whose sum is σ = 12249216. Its totient is φ = 720000.

The previous prime is 3412499. The next prime is 3412537. The reversal of 3412500 is 52143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3412500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262494 + ... + 262506.

It is an arithmetic number, because the mean of its divisors is an integer number (85064).

Almost surely, 23412500 is an apocalyptic number.

3412500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124608).

3412500 is an abundant number, since it is smaller than the sum of its proper divisors (8836716).

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

3412500 is a wasteful number, since it uses less digits than its factorization.

3412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3412500 is about 1847.2953201911. The cubic root of 3412500 is about 150.5535105504.

Adding to 3412500 its reverse (52143), we get a palindrome (3464643).

The spelling of 3412500 in words is "three million, four hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 125 130 140 150 156 175 182 195 210 250 260 273 300 325 350 364 375 390 420 455 500 525 546 625 650 700 750 780 875 910 975 1050 1092 1250 1300 1365 1500 1625 1750 1820 1875 1950 2100 2275 2500 2625 2730 3125 3250 3500 3750 3900 4375 4550 4875 5250 5460 6250 6500 6825 7500 8125 8750 9100 9375 9750 10500 11375 12500 13125 13650 16250 17500 18750 19500 21875 22750 24375 26250 27300 32500 34125 37500 40625 43750 45500 48750 52500 56875 65625 68250 81250 87500 97500 113750 121875 131250 136500 162500 170625 227500 243750 262500 284375 341250 487500 568750 682500 853125 1137500 1706250 3412500