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1424030400 = 263252137607
BaseRepresentation
bin101010011100000…
…1111101011000000
310200020120020110200
41110320033223000
510404022433100
6353145525200
750201026062
oct12470175300
93606506420
101424030400
11670912131
12338aa3800
13199043550
14d71a9732
158503ee00
hex54e0fac0

1424030400 has 252 divisors, whose sum is σ = 5451390672. Its totient is φ = 350484480.

The previous prime is 1424030389. The next prime is 1424030417. The reversal of 1424030400 is 40304241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183397 + ... + 191003.

Almost surely, 21424030400 is an apocalyptic number.

1424030400 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 1424030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725695336).

1424030400 is an abundant number, since it is smaller than the sum of its proper divisors (4027360272).

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

1424030400 is a wasteful number, since it uses less digits than its factorization.

1424030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7630 counting only the distinct ones).

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

The square root of 1424030400 is about 37736.3273252711. The cubic root of 1424030400 is about 1125.0532715515.

Adding to 1424030400 its reverse (40304241), we get a palindrome (1464334641).

The spelling of 1424030400 in words is "one billion, four hundred twenty-four million, thirty thousand, four hundred".