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4350080 = 2757971
BaseRepresentation
bin10000100110000010000000
322012000012002
4100212002000
52103200310
6233123132
751655310
oct20460200
98160162
104350080
112501309
1215594a8
13b94017
14813440
155adda5
hex426080

4350080 has 64 divisors (see below), whose sum is σ = 11897280. Its totient is φ = 1489920.

The previous prime is 4350077. The next prime is 4350091. The reversal of 4350080 is 800534.

4350080 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3995 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (185895).

Almost surely, 24350080 is an apocalyptic number.

4350080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948640).

4350080 is an abundant number, since it is smaller than the sum of its proper divisors (7547200).

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

4350080 is an equidigital number, since it uses as much as digits as its factorization.

4350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4350080 is about 2085.6845399053. The cubic root of 4350080 is about 163.2421908091.

The spelling of 4350080 in words is "four million, three hundred fifty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 971 1120 1942 2240 3884 4480 4855 6797 7768 9710 13594 15536 19420 27188 31072 33985 38840 54376 62144 67970 77680 108752 124288 135940 155360 217504 271880 310720 435008 543760 621440 870016 1087520 2175040 4350080