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421311000 = 233531117751
BaseRepresentation
bin11001000111001…
…011001000011000
31002100202211001010
4121013023020120
51330323423000
6105450053520
713304040645
oct3107131030
91070684033
10421311000
111a6901210
12b911a2a0
1369393666
143dd50dcc
1526ec2d50
hex191cb218

421311000 has 256 divisors, whose sum is σ = 1520363520. Its totient is φ = 96000000.

The previous prime is 421310999. The next prime is 421311013. The reversal of 421311000 is 113124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560625 + ... + 561375.

It is an arithmetic number, because the mean of its divisors is an integer number (5938920).

Almost surely, 2421311000 is an apocalyptic number.

421311000 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 421311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760181760).

421311000 is an abundant number, since it is smaller than the sum of its proper divisors (1099052520).

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

421311000 is a wasteful number, since it uses less digits than its factorization.

421311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 421311000 is about 20525.8617358687. The cubic root of 421311000 is about 749.6656287277.

Adding to 421311000 its reverse (113124), we get a palindrome (421424124).

The spelling of 421311000 in words is "four hundred twenty-one million, three hundred eleven thousand".