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423439400 = 235217124541
BaseRepresentation
bin11001001111010…
…010110000101000
31002111202221122202
4121033102300220
51331400030100
6110003435332
713331114126
oct3117226050
91074687582
10423439400
111a802531a
12b9985b48
136995a377
1440346916
15272937d5
hex193d2c28

423439400 has 48 divisors (see below), whose sum is σ = 1042416540. Its totient is φ = 159411200.

The previous prime is 423439391. The next prime is 423439439. The reversal of 423439400 is 4934324.

It can be written as a sum of positive squares in 6 ways, for example, as 69322276 + 354117124 = 8326^2 + 18818^2 .

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 11 ways as a sum of consecutive naturals, for example, 58871 + ... + 65670.

Almost surely, 2423439400 is an apocalyptic number.

423439400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423439400 is an abundant number, since it is smaller than the sum of its proper divisors (618977140).

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

423439400 is a wasteful number, since it uses less digits than its factorization.

423439400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124574 (or 124565 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 423439400 is about 20577.6432081033. The cubic root of 423439400 is about 750.9259083065.

It can be divided in two parts, 4234 and 39400, that added together give a palindrome (43634).

The spelling of 423439400 in words is "four hundred twenty-three million, four hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 124541 249082 498164 622705 996328 1245410 2117197 2490820 3113525 4234394 4981640 6227050 8468788 10585985 12454100 16937576 21171970 24908200 42343940 52929925 84687880 105859850 211719700 423439400