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337401441 = 32132883773
BaseRepresentation
bin10100000111000…
…101011001100001
3212111212202202200
4110013011121201
51142333321231
653251403413
711234602446
oct2407053141
9774782680
10337401441
111634aa773
1294bb3569
1354b94930
1432b4b9cd
151e94abe6
hex141c5661

337401441 has 12 divisors (see below), whose sum is σ = 524846868. Its totient is φ = 207631584.

The previous prime is 337401433. The next prime is 337401451. The reversal of 337401441 is 144104733.

It can be written as a sum of positive squares in 2 ways, for example, as 68310225 + 269091216 = 8265^2 + 16404^2 .

It is not a de Polignac number, because 337401441 - 23 = 337401433 is a prime.

It is a super-2 number, since 2×3374014412 = 227679464777752962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (337401451) 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, 1441770 + ... + 1442003.

It is an arithmetic number, because the mean of its divisors is an integer number (43737239).

Almost surely, 2337401441 is an apocalyptic number.

It is an amenable number.

337401441 is a deficient number, since it is larger than the sum of its proper divisors (187445427).

337401441 is a wasteful number, since it uses less digits than its factorization.

337401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883792 (or 2883789 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 337401441 is about 18368.4904387922. The cubic root of 337401441 is about 696.1705450579.

The spelling of 337401441 in words is "three hundred thirty-seven million, four hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 2883773 8651319 25953957 37489049 112467147 337401441