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90342288 = 2432627377
BaseRepresentation
bin1010110001010…
…00001110010000
320021222212022200
411120220032100
5141111423123
612544203200
72144616411
oct530501620
9207885280
1090342288
1146aa5553
1226309500
131594199a
14bdd9808
157de8143
hex5628390

90342288 has 30 divisors (see below), whose sum is σ = 252833334. Its totient is φ = 30114048.

The previous prime is 90342253. The next prime is 90342289. The reversal of 90342288 is 88224309.

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 6290064 = 9168^2 + 2508^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90342289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313545 + ... + 313832.

Almost surely, 290342288 is an apocalyptic number.

It is an amenable number.

90342288 is an abundant number, since it is smaller than the sum of its proper divisors (162491046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90342288 is a wasteful number, since it uses less digits than its factorization.

90342288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627391 (or 627382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90342288 is about 9504.8560220553. The cubic root of 90342288 is about 448.7078785634.

It can be divided in two parts, 90 and 342288, that added together give a triangular number (342378 = T827).

The spelling of 90342288 in words is "ninety million, three hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 627377 1254754 1882131 2509508 3764262 5019016 5646393 7528524 10038032 11292786 15057048 22585572 30114096 45171144 90342288