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90348336 = 243213172167
BaseRepresentation
bin1010110001010…
…01101100110000
320022000011121200
411120221230300
5141112121321
612544251200
72144643141
oct530515460
9208004550
1090348336
1146aaa051
1226310b00
1315944670
14bddbac8
157de9d26
hex5629b30

90348336 has 180 divisors, whose sum is σ = 290991792. Its totient is φ = 26007552.

The previous prime is 90348331. The next prime is 90348341. The reversal of 90348336 is 63384309.

It is an interprime number because it is at equal distance from previous prime (90348331) and next prime (90348341).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90348336.

It is not an unprimeable number, because it can be changed into a prime (90348331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 540925 + ... + 541091.

Almost surely, 290348336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90348336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145495896).

90348336 is an abundant number, since it is smaller than the sum of its proper divisors (200643456).

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

90348336 is a wasteful number, since it uses less digits than its factorization.

90348336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 90348336 is about 9505.1741698929. The cubic root of 90348336 is about 448.7178913151.

The spelling of 90348336 in words is "ninety million, three hundred forty-eight thousand, three hundred thirty-six".