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424211040 = 253351179113
BaseRepresentation
bin11001010010001…
…111001001100000
31002120020011011000
4121102033021200
51332044223130
6110032152000
713340506611
oct3122171140
91076204130
10424211040
111a8502040
12ba098600
1369b6a666
14404a7c08
1527397260
hex1948f260

424211040 has 384 divisors, whose sum is σ = 1654732800. Its totient is φ = 100638720.

The previous prime is 424211033. The next prime is 424211059. The reversal of 424211040 is 40112424.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3754024 + ... + 3754136.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2424211040 is an apocalyptic number.

424211040 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 424211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

424211040 is an abundant number, since it is smaller than the sum of its proper divisors (1230521760).

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

424211040 is a wasteful number, since it uses less digits than its factorization.

424211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 424211040 is about 20596.3841486801. The cubic root of 424211040 is about 751.3817727089.

Adding to 424211040 its reverse (40112424), we get a palindrome (464323464).

The spelling of 424211040 in words is "four hundred twenty-four million, two hundred eleven thousand, forty".