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424343424 = 2731105061
BaseRepresentation
bin11001010010101…
…111011110000000
31002120110212202010
4121102233132000
51332112442144
6110035052520
713341600561
oct3122573600
91076425663
10424343424
111a859254a
12ba141140
1369bb59ab
1440500168
15273c15b9
hex194af780

424343424 has 32 divisors (see below), whose sum is σ = 1127163240. Its totient is φ = 141447680.

The previous prime is 424343411. The next prime is 424343429.

424343424 is nontrivially palindromic in base 10.

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

It is a super-3 number, since 3×4243434243 (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424343391 and 424343400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424343429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 552147 + ... + 552914.

Almost surely, 2424343424 is an apocalyptic number.

It is an amenable number.

424343424 is an abundant number, since it is smaller than the sum of its proper divisors (702819816).

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

424343424 is a wasteful number, since it uses less digits than its factorization.

424343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105078 (or 1105066 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 424343424 is about 20599.5976659740. The cubic root of 424343424 is about 751.4599260883.

The spelling of 424343424 in words is "four hundred twenty-four million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1105061 2210122 3315183 4420244 6630366 8840488 13260732 17680976 26521464 35361952 53042928 70723904 106085856 141447808 212171712 424343424