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620343072 = 25327692801
BaseRepresentation
bin100100111110011…
…010111100100000
31121020021200201100
4210332122330200
52232301434242
6141320034400
721241554246
oct4476327440
91536250640
10620343072
11299192a28
12153902a00
139b69c20b
145c560796
15396da54c
hex24f9af20

620343072 has 72 divisors (see below), whose sum is σ = 1767025260. Its totient is φ = 206438400.

The previous prime is 620343029. The next prime is 620343137. The reversal of 620343072 is 270343026.

620343072 is a `hidden beast` number, since 620 + 3 + 4 + 30 + 7 + 2 = 666.

620343072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 618815376 + 1527696 = 24876^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220072 + ... + 222872.

Almost surely, 2620343072 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 620343072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883512630).

620343072 is an abundant number, since it is smaller than the sum of its proper divisors (1146682188).

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

620343072 is a wasteful number, since it uses less digits than its factorization.

620343072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 620343072 is about 24906.6872947809. The cubic root of 620343072 is about 852.8591479004.

Adding to 620343072 its reverse (270343026), we get a palindrome (890686098).

The spelling of 620343072 in words is "six hundred twenty million, three hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 769 1538 2307 2801 3076 4614 5602 6152 6921 8403 9228 11204 12304 13842 16806 18456 22408 24608 25209 27684 33612 36912 44816 50418 55368 67224 73824 89632 100836 110736 134448 201672 221472 268896 403344 806688 2153969 4307938 6461907 8615876 12923814 17231752 19385721 25847628 34463504 38771442 51695256 68927008 77542884 103390512 155085768 206781024 310171536 620343072