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90344961 = 3271519497
BaseRepresentation
bin1010110001010…
…00111000000001
320021222222222200
411120220320001
5141112014321
612544223413
72144630250
oct530507001
9207888880
1090344961
1146aa7563
122630ab69
1315942c75
14bdda797
157de8d26
hex5628e01

90344961 has 24 divisors (see below), whose sum is σ = 150144384. Its totient is φ = 51278400.

The previous prime is 90344941. The next prime is 90344963. The reversal of 90344961 is 16944309.

It is not a de Polignac number, because 90344961 - 214 = 90328577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90344963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4765 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (6256016).

Almost surely, 290344961 is an apocalyptic number.

It is an amenable number.

90344961 is a deficient number, since it is larger than the sum of its proper divisors (59799423).

90344961 is a wasteful number, since it uses less digits than its factorization.

90344961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9658 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90344961 is about 9504.9966333503. The cubic root of 90344961 is about 448.7123038971.

The spelling of 90344961 in words is "ninety million, three hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 63 151 453 1057 1359 3171 9497 9513 28491 66479 85473 199437 598311 1434047 4302141 10038329 12906423 30114987 90344961