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426336200 = 235217373389
BaseRepresentation
bin11001011010010…
…101111111001000
31002201020010022122
4121122111333020
51333120224300
6110145510412
713364540453
oct3132257710
91081203278
10426336200
111a9723774
12ba942408
136a432a54
144089c49a
1527666c85
hex19695fc8

426336200 has 96 divisors (see below), whose sum is σ = 1078223400. Its totient is φ = 156119040.

The previous prime is 426336179. The next prime is 426336227. The reversal of 426336200 is 2633624.

It can be written as a sum of positive squares in 12 ways, for example, as 275095396 + 151240804 = 16586^2 + 12298^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 426336200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124106 + ... + 127494.

Almost surely, 2426336200 is an apocalyptic number.

426336200 is a gapful number since it is divisible by the number (40) 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 426336200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539111700).

426336200 is an abundant number, since it is smaller than the sum of its proper divisors (651887200).

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

426336200 is a wasteful number, since it uses less digits than its factorization.

426336200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 426336200 is about 20647.9103058881. The cubic root of 426336200 is about 752.6344097533.

Adding to 426336200 its reverse (2633624), we get a palindrome (428969824).

The spelling of 426336200 in words is "four hundred twenty-six million, three hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 37 40 50 68 74 85 100 136 148 170 185 200 296 340 370 425 629 680 740 850 925 1258 1480 1700 1850 2516 3145 3389 3400 3700 5032 6290 6778 7400 12580 13556 15725 16945 25160 27112 31450 33890 57613 62900 67780 84725 115226 125393 125800 135560 169450 230452 250786 288065 338900 460904 501572 576130 626965 677800 1003144 1152260 1253930 1440325 2131681 2304520 2507860 2880650 3134825 4263362 5015720 5761300 6269650 8526724 10658405 11522600 12539300 17053448 21316810 25078600 42633620 53292025 85267240 106584050 213168100 426336200