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424364544 = 29321937131
BaseRepresentation
bin11001010010110…
…100101000000000
31002120111221201100
4121102310220000
51332114131134
6110035334400
713342016262
oct3122645000
91076457640
10424364544
111a85a73aa
12ba151400
1369bc24a6
1440507b32
15273c7999
hex194b4a00

424364544 has 240 divisors, whose sum is σ = 1334155680. Its totient is φ = 129392640.

The previous prime is 424364539. The next prime is 424364561. The reversal of 424364544 is 445463424.

424364544 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 645 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (184320) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 424364499 and 424364508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239359 + ... + 3239489.

It is an arithmetic number, because the mean of its divisors is an integer number (5558982).

Almost surely, 2424364544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667077840).

424364544 is an abundant number, since it is smaller than the sum of its proper divisors (909791136).

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

424364544 is a wasteful number, since it uses less digits than its factorization.

424364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 424364544 is about 20600.1102909669. The cubic root of 424364544 is about 751.4723928541.

The spelling of 424364544 in words is "four hundred twenty-four million, three hundred sixty-four thousand, five hundred forty-four".