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484346352 = 24373973631
BaseRepresentation
bin11100110111101…
…000100111110000
31020202101100021210
4130313220213300
51442443040402
6120021120120
715000606330
oct3467504760
91222340253
10484346352
11229445646
12116259040
1379464099
144847d0c0
152c7c506c
hex1cde89f0

484346352 has 80 divisors (see below), whose sum is σ = 1433971712. Its totient is φ = 137998080.

The previous prime is 484346341. The next prime is 484346353. The reversal of 484346352 is 253643484.

It is a self number, because there is not a number n which added to its sum of digits gives 484346352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484346353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131577 + ... + 135207.

Almost surely, 2484346352 is an apocalyptic number.

484346352 is a gapful number since it is divisible by the number (42) 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 484346352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716985856).

484346352 is an abundant number, since it is smaller than the sum of its proper divisors (949625360).

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

484346352 is a wasteful number, since it uses less digits than its factorization.

484346352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4040 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 484346352 is about 22007.8702286250. The cubic root of 484346352 is about 785.3296799069.

The spelling of 484346352 in words is "four hundred eighty-four million, three hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 397 794 1191 1588 2382 2779 3176 3631 4764 5558 6352 7262 8337 9528 10893 11116 14524 16674 19056 21786 22232 25417 29048 33348 43572 44464 50834 58096 66696 76251 87144 101668 133392 152502 174288 203336 305004 406672 610008 1220016 1441507 2883014 4324521 5766028 8649042 10090549 11532056 17298084 20181098 23064112 30271647 34596168 40362196 60543294 69192336 80724392 121086588 161448784 242173176 484346352