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424406040 = 233519297101
BaseRepresentation
bin11001010010111…
…110110000011000
31002120121001122020
4121102332300120
51332121443130
6110040254440
713342251252
oct3122766030
91076531566
10424406040
111a86255a3
12ba171420
1369c08346
1440518cd2
15273d4e10
hex194bec18

424406040 has 192 divisors, whose sum is σ = 1371051360. Its totient is φ = 105062400.

The previous prime is 424406029. The next prime is 424406069. The reversal of 424406040 is 40604424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424406040.

It is a congruent number.

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, 4201990 + ... + 4202090.

Almost surely, 2424406040 is an apocalyptic number.

424406040 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 424406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685525680).

424406040 is an abundant number, since it is smaller than the sum of its proper divisors (946645320).

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

424406040 is a wasteful number, since it uses less digits than its factorization.

424406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424406040 is about 20601.1174454203. The cubic root of 424406040 is about 751.4968860110.

The spelling of 424406040 in words is "four hundred twenty-four million, four hundred six thousand, forty".