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3427015248 = 2432131918043
BaseRepresentation
bin1100110001000100…
…0001101001010000
322211211112102010200
43030101001221100
524004303441443
61324020455200
7150632102046
oct31421015120
98754472120
103427015248
1114a9508308
127b784a500
13427cc4397
14247200396
15150ce1dd3
hexcc441a50

3427015248 has 60 divisors (see below), whose sum is σ = 9598686240. Its totient is φ = 1141409088.

The previous prime is 3427015223. The next prime is 3427015259. The reversal of 3427015248 is 8425107243.

It is a happy number.

3427015248 is a `hidden beast` number, since 342 + 70 + 1 + 5 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180915 + ... + 198957.

It is an arithmetic number, because the mean of its divisors is an integer number (159978104).

Almost surely, 23427015248 is an apocalyptic number.

It is an amenable number.

3427015248 is an abundant number, since it is smaller than the sum of its proper divisors (6171670992).

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

3427015248 is a wasteful number, since it uses less digits than its factorization.

3427015248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19376 (or 19367 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3427015248 is about 58540.7144472973. The cubic root of 3427015248 is about 1507.6667102746. Note that the first 3 decimals are identical.

The spelling of 3427015248 in words is "three billion, four hundred twenty-seven million, fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1319 2638 3957 5276 7914 10552 11871 15828 18043 21104 23742 31656 36086 47484 54129 63312 72172 94968 108258 144344 162387 189936 216516 288688 324774 433032 649548 866064 1299096 2598192 23798717 47597434 71396151 95194868 142792302 190389736 214188453 285584604 380779472 428376906 571169208 856753812 1142338416 1713507624 3427015248