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287336401 = 112232672
BaseRepresentation
bin10001001000000…
…110011111010001
3202000200012102221
4101020012133101
51042024231101
644302341041
710056214312
oct2110063721
9660605387
10287336401
11138215100
128028a781
13476b5a51
142a238609
151a35baa1
hex112067d1

287336401 has 27 divisors (see below), whose sum is σ = 335162793. Its totient is φ = 246128520.

The previous prime is 287336377. The next prime is 287336419. The reversal of 287336401 is 104633782.

It is a happy number.

The square root of 287336401 is 16951.

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

It is not a de Polignac number, because 287336401 - 25 = 287336369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287336471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4288570 + ... + 4288636.

Almost surely, 2287336401 is an apocalyptic number.

287336401 is the 16951-st square number.

287336401 is the 8476-th centered octagonal number.

It is an amenable number.

287336401 is a deficient number, since it is larger than the sum of its proper divisors (47826392).

287336401 is an equidigital number, since it uses as much as digits as its factorization.

287336401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 287336401 is about 659.8778477639.

The spelling of 287336401 in words is "two hundred eighty-seven million, three hundred thirty-six thousand, four hundred one".

Divisors: 1 11 23 67 121 253 529 737 1541 2783 4489 5819 8107 16951 35443 49379 64009 103247 186461 389873 543169 1135717 2374681 4288603 12492887 26121491 287336401