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430049144 = 23728127329
BaseRepresentation
bin11001101000100…
…000011101111000
31002222012202112002
4121220200131320
51340043033034
6110401240132
713441233410
oct3150403570
91088182462
10430049144
1120082a318
12100033048
136b132a65
1441187640
1527b4be7e
hex19a20778

430049144 has 32 divisors (see below), whose sum is σ = 924847200. Its totient is φ = 183644160.

The previous prime is 430049141. The next prime is 430049159. The reversal of 430049144 is 441940034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430049141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2072 + ... + 29400.

It is an arithmetic number, because the mean of its divisors is an integer number (28901475).

Almost surely, 2430049144 is an apocalyptic number.

It is an amenable number.

430049144 is an abundant number, since it is smaller than the sum of its proper divisors (494798056).

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

430049144 is a wasteful number, since it uses less digits than its factorization.

430049144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27623 (or 27619 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 430049144 is about 20737.6262865353. The cubic root of 430049144 is about 754.8129846871.

Adding to 430049144 its reverse (441940034), we get a palindrome (871989178).

The spelling of 430049144 in words is "four hundred thirty million, forty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 281 562 1124 1967 2248 3934 7868 15736 27329 54658 109316 191303 218632 382606 765212 1530424 7679449 15358898 30717796 53756143 61435592 107512286 215024572 430049144