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1243295424 = 2632742931
BaseRepresentation
bin100101000011011…
…0010111011000000
310012122110221200200
41022012302323000
510021240423144
6323212045200
742544560000
oct11206627300
93178427620
101243295424
11588898288
122a8463800
1316a772c87
14bb1a0000
157423dc69
hex4a1b2ec0

1243295424 has 420 divisors, whose sum is σ = 4439472960. Its totient is φ = 331914240.

The previous prime is 1243295411. The next prime is 1243295437. The reversal of 1243295424 is 4245923421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1243295411) and next prime (1243295437).

It is a super-2 number, since 2×12432954242 = 3091567022678679552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime divisors (72).

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 59 ways as a sum of consecutive naturals, for example, 40106289 + ... + 40106319.

Almost surely, 21243295424 is an apocalyptic number.

1243295424 is a gapful number since it is divisible by the number (14) 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 1243295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219736480).

1243295424 is an abundant number, since it is smaller than the sum of its proper divisors (3196177536).

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

1243295424 is an equidigital number, since it uses as much as digits as its factorization.

1243295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1243295424 is about 35260.3945525288. The cubic root of 1243295424 is about 1075.2879485350.

The spelling of 1243295424 in words is "one billion, two hundred forty-three million, two hundred ninety-five thousand, four hundred twenty-four".