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4300439040 = 2935531223
BaseRepresentation
bin1000000000101001…
…10111111000000000
3102002201000221100000
410000110313320000
532301403022130
61550421200000
7211366062102
oct40024677000
912081027300
104300439040
111907538557
12a00260000
13536c442b1
142cb1dd572
151a281e260
hex100537e00

4300439040 has 480 divisors, whose sum is σ = 16014974976. Its totient is φ = 1104814080.

The previous prime is 4300438999. The next prime is 4300439063. The reversal of 4300439040 is 409340034.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×43004390402 = 36987551873512243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4300438995 and 4300439013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19284369 + ... + 19284591.

Almost surely, 24300439040 is an apocalyptic number.

4300439040 is a gapful number since it is divisible by the number (40) 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 4300439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007487488).

4300439040 is an abundant number, since it is smaller than the sum of its proper divisors (11714535936).

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

4300439040 is an equidigital number, since it uses as much as digits as its factorization.

4300439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4300439040 is about 65577.7328061896. The cubic root of 4300439040 is about 1626.1886737940.

Adding to 4300439040 its reverse (409340034), we get a palindrome (4709779074).

The spelling of 4300439040 in words is "four billion, three hundred million, four hundred thirty-nine thousand, forty".