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482343120 = 243357192373
BaseRepresentation
bin11100101111111…
…111100011010000
31020121121120101000
4130233333203100
51441434434440
6115510142000
714644564110
oct3457774320
91217546330
10482343120
112282a7586
12115651900
1378c1233c
14480bb040
152c52b730
hex1cbff8d0

482343120 has 640 divisors, whose sum is σ = 2114150400. Its totient is φ = 98537472.

The previous prime is 482343119. The next prime is 482343131. The reversal of 482343120 is 21343284.

It is a super-2 number, since 2×4823431202 = 465309770822668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6607404 + ... + 6607476.

It is an arithmetic number, because the mean of its divisors is an integer number (3303360).

Almost surely, 2482343120 is an apocalyptic number.

482343120 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 482343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057075200).

482343120 is an abundant number, since it is smaller than the sum of its proper divisors (1631807280).

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

482343120 is a wasteful number, since it uses less digits than its factorization.

482343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 482343120 is about 21962.3113537715. The cubic root of 482343120 is about 784.2454892070.

The spelling of 482343120 in words is "four hundred eighty-two million, three hundred forty-three thousand, one hundred twenty".