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3305713050 = 2325242117449
BaseRepresentation
bin1100010100001001…
…0010110110011010
322112101021121210200
43011002102312122
523232230304200
61304004523030
7144630045243
oct30502226632
98471247720
103305713050
111446a97162
127830b0476
13408b32833
14235065cca
15145330800
hexc5092d9a

3305713050 has 72 divisors (see below), whose sum is σ = 8902955100. Its totient is φ = 879379200.

The previous prime is 3305713049. The next prime is 3305713057. The reversal of 3305713050 is 503175033.

It can be written as a sum of positive squares in 6 ways, for example, as 1179304281 + 2126408769 = 34341^2 + 46113^2 .

It is not an unprimeable number, because it can be changed into a prime (3305713057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180726 + ... + 198174.

Almost surely, 23305713050 is an apocalyptic number.

3305713050 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 3305713050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451477550).

3305713050 is an abundant number, since it is smaller than the sum of its proper divisors (5597242050).

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

3305713050 is a wasteful number, since it uses less digits than its factorization.

3305713050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17888 (or 17880 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 3305713050 is about 57495.3306799778. The cubic root of 3305713050 is about 1489.6642112258.

Adding to 3305713050 its reverse (503175033), we get a palindrome (3808888083).

The spelling of 3305713050 in words is "three billion, three hundred five million, seven hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 421 450 842 1263 2105 2526 3789 4210 6315 7578 10525 12630 17449 18945 21050 31575 34898 37890 52347 63150 87245 94725 104694 157041 174490 189450 261735 314082 436225 523470 785205 872450 1308675 1570410 2617350 3926025 7346029 7852050 14692058 22038087 36730145 44076174 66114261 73460290 110190435 132228522 183650725 220380870 330571305 367301450 550952175 661142610 1101904350 1652856525 3305713050