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424170144 = 25321472813
BaseRepresentation
bin11001010010000…
…101001010100000
31002120011002001100
4121102011022200
51332041421034
6110031234400
713340246436
oct3122051240
91076132040
10424170144
111a8484342
12ba078a00
1369b54b68
1440496d56
152738a099
hex194852a0

424170144 has 36 divisors (see below), whose sum is σ = 1206234666. Its totient is φ = 141389952.

The previous prime is 424170143. The next prime is 424170151. The reversal of 424170144 is 441071424.

It can be written as a sum of positive squares in only one way, i.e., 225360144 + 198810000 = 15012^2 + 14100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4241701442 = 359840622121961472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424170143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736119 + ... + 736694.

Almost surely, 2424170144 is an apocalyptic number.

It is an amenable number.

424170144 is an abundant number, since it is smaller than the sum of its proper divisors (782064522).

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

424170144 is a wasteful number, since it uses less digits than its factorization.

424170144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472829 (or 1472818 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 424170144 is about 20595.3913291299. The cubic root of 424170144 is about 751.3576263182.

The spelling of 424170144 in words is "four hundred twenty-four million, one hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1472813 2945626 4418439 5891252 8836878 11782504 13255317 17673756 23565008 26510634 35347512 47130016 53021268 70695024 106042536 141390048 212085072 424170144