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681434620 = 225193974517
BaseRepresentation
bin101000100111011…
…101110111111100
31202111020110120021
4220213131313330
52343421401440
6151341301524
722613045566
oct5047356774
91674213507
10681434620
1131a719a09
121702648a4
13ab23bc69
1466704336
153ec5684a
hex289dddfc

681434620 has 48 divisors (see below), whose sum is σ = 1510457760. Its totient is φ = 257520384.

The previous prime is 681434609. The next prime is 681434659. The reversal of 681434620 is 26434186.

It is a super-3 number, since 3×6814346203 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148602 + ... + 153118.

It is an arithmetic number, because the mean of its divisors is an integer number (31467870).

Almost surely, 2681434620 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 681434620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755228880).

681434620 is an abundant number, since it is smaller than the sum of its proper divisors (829023140).

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

681434620 is a wasteful number, since it uses less digits than its factorization.

681434620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 681434620 is about 26104.3027104728. The cubic root of 681434620 is about 879.9839098298.

The spelling of 681434620 in words is "six hundred eighty-one million, four hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 397 794 1588 1985 3970 4517 7543 7940 9034 15086 18068 22585 30172 37715 45170 75430 85823 90340 150860 171646 343292 429115 858230 1716460 1793249 3586498 7172996 8966245 17932490 34071731 35864980 68143462 136286924 170358655 340717310 681434620