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90304384 = 27897927
BaseRepresentation
bin1010110000111…
…10111110000000
320021220221022211
411120132332000
5141104220014
612543311504
72144401042
oct530367600
9207827284
1090304384
1146a7a025
12262ab594
131592a661
14bdc9a92
157ddbcc4
hex561ef80

90304384 has 32 divisors (see below), whose sum is σ = 181947600. Its totient is φ = 44639232.

The previous prime is 90304373. The next prime is 90304393. The reversal of 90304384 is 48340309.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7429 + ... + 15355.

Almost surely, 290304384 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 90304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90973800).

90304384 is an abundant number, since it is smaller than the sum of its proper divisors (91643216).

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

90304384 is an equidigital number, since it uses as much as digits as its factorization.

90304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 90304384 is about 9502.8618847166. The cubic root of 90304384 is about 448.6451165097.

The spelling of 90304384 in words is "ninety million, three hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 7927 11392 15854 31708 63416 126832 253664 507328 705503 1014656 1411006 2822012 5644024 11288048 22576096 45152192 90304384