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3427003360 = 255119771993
BaseRepresentation
bin1100110001000011…
…1110101111100000
322211211111210211101
43030100332233200
524004303101420
61324020324144
7150632022304
oct31420765740
98754453741
103427003360
1114a94aa390
127b7843654
13427cbbb51
142471d9d04
15150cdd60a
hexcc43ebe0

3427003360 has 96 divisors (see below), whose sum is σ = 8845798752. Its totient is φ = 1244282880.

The previous prime is 3427003339. The next prime is 3427003367. The reversal of 3427003360 is 633007243.

3427003360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427003367) 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, 1718524 + ... + 1720516.

It is an arithmetic number, because the mean of its divisors is an integer number (92143737).

Almost surely, 23427003360 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 3427003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422899376).

3427003360 is an abundant number, since it is smaller than the sum of its proper divisors (5418795392).

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

3427003360 is a wasteful number, since it uses less digits than its factorization.

3427003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 3427003360 is about 58540.6129110381. The cubic root of 3427003360 is about 1507.6649669537.

The spelling of 3427003360 in words is "three billion, four hundred twenty-seven million, three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 977 1760 1954 1993 3908 3986 4885 7816 7972 9770 9965 10747 15632 15944 19540 19930 21494 21923 31264 31888 39080 39860 42988 43846 53735 63776 78160 79720 85976 87692 107470 109615 156320 159440 171952 175384 214940 219230 318880 343904 350768 429880 438460 701536 859760 876920 1719520 1753840 1947161 3507680 3894322 7788644 9735805 15577288 19471610 21418771 31154576 38943220 42837542 62309152 77886440 85675084 107093855 155772880 171350168 214187710 311545760 342700336 428375420 685400672 856750840 1713501680 3427003360