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361242401 = 13217125737
BaseRepresentation
bin10101100010000…
…001111100100001
3221011202000102012
4111202001330201
51214434224101
655502402305
711644336562
oct2542017441
9834660365
10361242401
11175a03843
12a0b90395
1359ac1400
1435d96169
1521aa9bbb
hex15881f21

361242401 has 12 divisors (see below), whose sum is σ = 414180972. Its totient is φ = 313837056.

The previous prime is 361242373. The next prime is 361242419. The reversal of 361242401 is 104242163.

It can be written as a sum of positive squares in 6 ways, for example, as 7840000 + 353402401 = 2800^2 + 18799^2 .

It is a de Polignac number, because none of the positive numbers 2k-361242401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (361242451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59996 + ... + 65741.

It is an arithmetic number, because the mean of its divisors is an integer number (34515081).

Almost surely, 2361242401 is an apocalyptic number.

It is an amenable number.

361242401 is a deficient number, since it is larger than the sum of its proper divisors (52938571).

361242401 is a wasteful number, since it uses less digits than its factorization.

361242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125780 (or 125767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 361242401 is about 19006.3779032198. The cubic root of 361242401 is about 712.1960708852.

Adding to 361242401 its reverse (104242163), we get a palindrome (465484564).

The spelling of 361242401 in words is "three hundred sixty-one million, two hundred forty-two thousand, four hundred one".

Divisors: 1 13 17 169 221 2873 125737 1634581 2137529 21249553 27787877 361242401