Search a number
-
+
421374240 = 253257172459
BaseRepresentation
bin11001000111011…
…010100100100000
31002100220000210100
4121013122210200
51330332433430
6105451302400
713304423220
oct3107324440
91070800710
10421374240
111a6944781
12b914aa00
13693b6391
143dd6a080
1526ed6960
hex191da920

421374240 has 288 divisors, whose sum is σ = 1740735360. Its totient is φ = 90611712.

The previous prime is 421374203. The next prime is 421374251. The reversal of 421374240 is 42473124.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170131 + ... + 172589.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2421374240 is an apocalyptic number.

421374240 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 421374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870367680).

421374240 is an abundant number, since it is smaller than the sum of its proper divisors (1319361120).

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

421374240 is a wasteful number, since it uses less digits than its factorization.

421374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 421374240 is about 20527.4021736799. The cubic root of 421374240 is about 749.7031358444.

The spelling of 421374240 in words is "four hundred twenty-one million, three hundred seventy-four thousand, two hundred forty".