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90142344 = 23321816917
BaseRepresentation
bin1010101111101…
…11011010001000
320021121201001100
411113313122020
5141034023334
612540021400
72143124445
oct527673210
9207551040
1090142344
1146979306
1226231860
13158a1986
14bd869cc
157da8c99
hex55f7688

90142344 has 48 divisors (see below), whose sum is σ = 245519820. Its totient is φ = 29877120.

The previous prime is 90142333. The next prime is 90142361. The reversal of 90142344 is 44324109.

It can be written as a sum of positive squares in 2 ways, for example, as 83942244 + 6200100 = 9162^2 + 2490^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9574 + ... + 16490.

Almost surely, 290142344 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 90142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122759910).

90142344 is an abundant number, since it is smaller than the sum of its proper divisors (155377476).

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

90142344 is a wasteful number, since it uses less digits than its factorization.

90142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90142344 is about 9494.3322040047. The cubic root of 90142344 is about 448.3766098672.

The spelling of 90142344 in words is "ninety million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 6917 13032 13834 20751 27668 41502 55336 62253 83004 124506 166008 249012 498024 1251977 2503954 3755931 5007908 7511862 10015816 11267793 15023724 22535586 30047448 45071172 90142344