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3428587120 = 24576122477
BaseRepresentation
bin1100110001011100…
…0001011001110000
322211221111021100011
43030113001121300
524010204241440
61324114304304
7150651336550
oct31427013160
98757437304
103428587120
1114aa391282
127b8288094
1342842499a
142474cd160
151510029ea
hexcc5c1670

3428587120 has 40 divisors (see below), whose sum is σ = 9110247264. Its totient is φ = 1175515392.

The previous prime is 3428587111. The next prime is 3428587153. The reversal of 3428587120 is 217858243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060679 + ... + 3061798.

Almost surely, 23428587120 is an apocalyptic number.

It is an amenable number.

3428587120 is an abundant number, since it is smaller than the sum of its proper divisors (5681660144).

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

3428587120 is a wasteful number, since it uses less digits than its factorization.

3428587120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122497 (or 6122491 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 3428587120 is about 58554.1383678387. The cubic root of 3428587120 is about 1507.8971826322.

The spelling of 3428587120 in words is "three billion, four hundred twenty-eight million, five hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 6122477 12244954 24489908 30612385 42857339 48979816 61224770 85714678 97959632 122449540 171429356 214286695 244899080 342858712 428573390 489798160 685717424 857146780 1714293560 3428587120