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1423400400 = 2432522711459
BaseRepresentation
bin101010011010111…
…0101110111010000
310200012101020021100
41110311311313100
510403342303100
6353124224400
750162463252
oct12465656720
93605336240
101423400400
11670521874
1233883b100
13198b82876
14d7083cd2
1584e68400
hex54d75dd0

1423400400 has 180 divisors, whose sum is σ = 4961220160. Its totient is φ = 377913600.

The previous prime is 1423400399. The next prime is 1423400431. The reversal of 1423400400 is 40043241.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 974871 + ... + 976329.

Almost surely, 21423400400 is an apocalyptic number.

1423400400 is a gapful number since it is divisible by the number (10) 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 1423400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480610080).

1423400400 is an abundant number, since it is smaller than the sum of its proper divisors (3537819760).

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

1423400400 is a wasteful number, since it uses less digits than its factorization.

1423400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1423400400 is about 37727.9790076277. The cubic root of 1423400400 is about 1124.8873368659.

Adding to 1423400400 its reverse (40043241), we get a palindrome (1463443641).

The spelling of 1423400400 in words is "one billion, four hundred twenty-three million, four hundred thousand, four hundred".