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420003440 = 2455250043
BaseRepresentation
bin11001000010001…
…011111001110000
31002021022101101222
4121002023321300
51330010102230
6105402044212
713256653553
oct3102137160
91067271358
10420003440
111a609888a
12b87a9668
136902645c
143dad069a
1526d156e5
hex1908be70

420003440 has 20 divisors (see below), whose sum is σ = 976508184. Its totient is φ = 168001344.

The previous prime is 420003439. The next prime is 420003443. The reversal of 420003440 is 44300024.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4200034402 = 352805779223667200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420003443) by changing a digit.

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, 2624942 + ... + 2625101.

Almost surely, 2420003440 is an apocalyptic number.

420003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420003440 is an abundant number, since it is smaller than the sum of its proper divisors (556504744).

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

420003440 is a wasteful number, since it uses less digits than its factorization.

420003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250056 (or 5250050 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420003440 is about 20493.9854591536. The cubic root of 420003440 is about 748.8892832973.

Adding to 420003440 its reverse (44300024), we get a palindrome (464303464).

The spelling of 420003440 in words is "four hundred twenty million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5250043 10500086 21000172 26250215 42000344 52500430 84000688 105000860 210001720 420003440