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421738240 = 2857112389
BaseRepresentation
bin11001001000110…
…011011100000000
31002101120112002211
4121020303130000
51330431110430
6105503151504
713310500360
oct3110633400
91071515084
10421738240
111a7073200
12b92a5594
13694b2c71
14400229a0
152705972a
hex19233700

421738240 has 216 divisors, whose sum is σ = 1272267360. Its totient is φ = 131112960.

The previous prime is 421738237. The next prime is 421738351. The reversal of 421738240 is 42837124.

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 23 ways as a sum of consecutive naturals, for example, 1083966 + ... + 1084354.

Almost surely, 2421738240 is an apocalyptic number.

421738240 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 421738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636133680).

421738240 is an abundant number, since it is smaller than the sum of its proper divisors (850529120).

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

421738240 is a wasteful number, since it uses less digits than its factorization.

421738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 421738240 is about 20536.2664571728. The cubic root of 421738240 is about 749.9189482782.

The spelling of 421738240 in words is "four hundred twenty-one million, seven hundred thirty-eight thousand, two hundred forty".