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88342144 = 271162743
BaseRepresentation
bin1010100001111…
…11111010000000
320011020020122021
411100333322000
5140103422034
612433251224
72121616162
oct520777200
9204206567
1088342144
1145959840
1225703b14
13153c1477
14ba38932
157b506b4
hex543fe80

88342144 has 32 divisors (see below), whose sum is σ = 191996640. Its totient is φ = 40154880.

The previous prime is 88342139. The next prime is 88342159. The reversal of 88342144 is 44124388.

It is a happy number.

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

It is a zygodrome in base 4.

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, 29964 + ... + 32779.

It is an arithmetic number, because the mean of its divisors is an integer number (5999895).

Almost surely, 288342144 is an apocalyptic number.

It is an amenable number.

88342144 is an abundant number, since it is smaller than the sum of its proper divisors (103654496).

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

88342144 is a wasteful number, since it uses less digits than its factorization.

88342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62768 (or 62756 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 88342144 is about 9399.0501647773. The cubic root of 88342144 is about 445.3717282764.

The spelling of 88342144 in words is "eighty-eight million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 62743 125486 250972 501944 690173 1003888 1380346 2007776 2760692 4015552 5521384 8031104 11042768 22085536 44171072 88342144