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620334144 = 26327314753
BaseRepresentation
bin100100111110011…
…000110001000000
31121020021020110200
4210332120301000
52232301143034
6141315525200
721241516233
oct4476306100
91536236420
10620334144
11299187251
121538b9800
139b698131
145c55b41a
15396d7a99
hex24f98c40

620334144 has 84 divisors (see below), whose sum is σ = 1802555196. Its totient is φ = 203931648.

The previous prime is 620334139. The next prime is 620334163. The reversal of 620334144 is 441433026.

620334144 is a `hidden beast` number, since 620 + 3 + 34 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 328334400 + 291999744 = 18120^2 + 17088^2 .

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, 34672 + ... + 49424.

Almost surely, 2620334144 is an apocalyptic number.

620334144 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 620334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901277598).

620334144 is an abundant number, since it is smaller than the sum of its proper divisors (1182221052).

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

620334144 is a wasteful number, since it uses less digits than its factorization.

620334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 620334144 is about 24906.5080651624. The cubic root of 620334144 is about 852.8550564208.

The spelling of 620334144 in words is "six hundred twenty million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 10512 14016 14753 21024 29506 42048 44259 59012 88518 118024 132777 177036 236048 265554 354072 472096 531108 708144 944192 1062216 1076969 1416288 2124432 2153938 2832576 3230907 4248864 4307876 6461814 8497728 8615752 9692721 12923628 17231504 19385442 25847256 34463008 38770884 51694512 68926016 77541768 103389024 155083536 206778048 310167072 620334144