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3512340225 = 36524392
BaseRepresentation
bin1101000101011010…
…0000111100000001
3100001210002101000000
43101112200330001
524143124341400
61340305350213
7153016253652
oct32126407401
910053071000
103512340225
111542696219
12820338369
1343c89a434
14254691529
15158548600
hexd15a0f01

3512340225 has 63 divisors (see below), whose sum is σ = 6544874163. Its totient is φ = 1868981040.

The previous prime is 3512340211. The next prime is 3512340229. The reversal of 3512340225 is 5220432153.

It is a happy number.

The square root of 3512340225 is 59265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1264442481 + 2247897744 = 35559^2 + 47412^2 .

It is not a de Polignac number, because 3512340225 - 211 = 3512338177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3512340229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8000556 + ... + 8000994.

Almost surely, 23512340225 is an apocalyptic number.

3512340225 is the 59265-th square number.

3512340225 is the 29633-rd centered octagonal number.

It is an amenable number.

3512340225 is a deficient number, since it is larger than the sum of its proper divisors (3032533938).

3512340225 is an frugal number, since it uses more digits than its factorization.

3512340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 3512340225 is about 1520.0767829691.

Adding to 3512340225 its reverse (5220432153), we get a palindrome (8732772378).

The spelling of 3512340225 in words is "three billion, five hundred twelve million, three hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 439 675 729 1215 1317 2025 2195 3645 3951 6075 6585 10975 11853 18225 19755 32925 35559 59265 98775 106677 177795 192721 296325 320031 533385 578163 888975 963605 1600155 1734489 2666925 2890815 4818025 5203467 8000775 8672445 14454075 15610401 26017335 43362225 46831203 78052005 130086675 140493609 234156015 390260025 702468045 1170780075 3512340225