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3442500 = 22345417
BaseRepresentation
bin1101001000011101000100
320110220020000
431020131010
51340130000
6201441300
741155305
oct15103504
96426200
103442500
111a41446
1211a0230
13936ba9
146587ac
15480000
hex348744

3442500 has 150 divisors (see below), whose sum is σ = 11907126. Its totient is φ = 864000.

The previous prime is 3442499. The next prime is 3442567. The reversal of 3442500 is 52443.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 876096 + 2566404 = 936^2 + 1602^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 202492 + ... + 202508.

Almost surely, 23442500 is an apocalyptic number.

3442500 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 3442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953563).

3442500 is an abundant number, since it is smaller than the sum of its proper divisors (8464626).

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

3442500 is a wasteful number, since it uses less digits than its factorization.

3442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3442500 is about 1855.3975315279. The cubic root of 3442500 is about 150.9934064340.

Adding to 3442500 its reverse (52443), we get a palindrome (3494943).

The spelling of 3442500 in words is "three million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 81 85 90 100 102 108 125 135 150 153 162 170 180 204 225 250 255 270 300 306 324 340 375 405 425 450 459 500 510 540 612 625 675 750 765 810 850 900 918 1020 1125 1250 1275 1350 1377 1500 1530 1620 1700 1836 1875 2025 2125 2250 2295 2500 2550 2700 2754 3060 3375 3750 3825 4050 4250 4500 4590 5100 5508 5625 6375 6750 6885 7500 7650 8100 8500 9180 10125 10625 11250 11475 12750 13500 13770 15300 16875 19125 20250 21250 22500 22950 25500 27540 31875 33750 34425 38250 40500 42500 45900 50625 57375 63750 67500 68850 76500 95625 101250 114750 127500 137700 172125 191250 202500 229500 286875 344250 382500 573750 688500 860625 1147500 1721250 3442500