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620360384 = 2672337587
BaseRepresentation
bin100100111110011…
…111001011000000
31121020022120110112
4210332133023000
52232303013014
6141320250452
721241655600
oct4476371300
91536276415
10620360384
112991a4a36
12153910a28
139b6a7067
145c566c00
15396e073e
hex24f9f2c0

620360384 has 84 divisors (see below), whose sum is σ = 1438707816. Its totient is φ = 264628224.

The previous prime is 620360383. The next prime is 620360387. The reversal of 620360384 is 483063026.

620360384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 620360384.

It is not an unprimeable number, because it can be changed into a prime (620360383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056539 + ... + 1057125.

It is an arithmetic number, because the mean of its divisors is an integer number (17127474).

Almost surely, 2620360384 is an apocalyptic number.

620360384 is a gapful number since it is divisible by the number (64) 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 620360384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719353908).

620360384 is an abundant number, since it is smaller than the sum of its proper divisors (818347432).

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

620360384 is a wasteful number, since it uses less digits than its factorization.

620360384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 620360384 is about 24907.0348295416. The cubic root of 620360384 is about 852.8670814460.

The spelling of 620360384 in words is "six hundred twenty million, three hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 337 392 448 587 674 784 1174 1348 1568 2348 2359 2696 3136 4109 4696 4718 5392 8218 9392 9436 10784 16436 16513 18784 18872 21568 28763 32872 33026 37568 37744 57526 65744 66052 75488 115052 131488 132104 150976 197819 230104 262976 264208 395638 460208 528416 791276 920416 1056832 1384733 1582552 1840832 2769466 3165104 5538932 6330208 9693131 11077864 12660416 19386262 22155728 38772524 44311456 77545048 88622912 155090096 310180192 620360384