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421818240 = 27351931373
BaseRepresentation
bin11001001001000…
…110111110000000
31002101201120211210
4121021012332000
51330441140430
6105505010120
713311252534
oct3111067600
91071646753
10421818240
111a7118318
12b9323940
13695104bc
1440043bc4
15270732b0
hex19246f80

421818240 has 256 divisors, whose sum is σ = 1464883200. Its totient is φ = 102850560.

The previous prime is 421818239. The next prime is 421818247. The reversal of 421818240 is 42818124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 421818198 and 421818207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421818247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130694 + ... + 1131066.

It is an arithmetic number, because the mean of its divisors is an integer number (5722200).

Almost surely, 2421818240 is an apocalyptic number.

421818240 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 421818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732441600).

421818240 is an abundant number, since it is smaller than the sum of its proper divisors (1043064960).

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

421818240 is a wasteful number, since it uses less digits than its factorization.

421818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 421818240 is about 20538.2141385272. The cubic root of 421818240 is about 749.9663629359.

The spelling of 421818240 in words is "four hundred twenty-one million, eight hundred eighteen thousand, two hundred forty".