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3428707560 = 233517298867
BaseRepresentation
bin1100110001011101…
…1110110011101000
322211221201101112220
43030113132303220
524010222120220
61324121034040
7150652350645
oct31427366350
98757641486
103428707560
1114aa463813
127b8325920
13428467755
14247520dcc
15151028540
hexcc5dece8

3428707560 has 96 divisors (see below), whose sum is σ = 10926891360. Its totient is φ = 860529664.

The previous prime is 3428707559. The next prime is 3428707591. The reversal of 3428707560 is 657078243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14754 + ... + 84113.

It is an arithmetic number, because the mean of its divisors is an integer number (113821785).

Almost surely, 23428707560 is an apocalyptic number.

3428707560 is a gapful number since it is divisible by the number (30) 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 3428707560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463445680).

3428707560 is an abundant number, since it is smaller than the sum of its proper divisors (7498183800).

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

3428707560 is a wasteful number, since it uses less digits than its factorization.

3428707560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98915 (or 98894 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3428707560 is about 58555.1668087454. The cubic root of 3428707560 is about 1507.9148389829.

The spelling of 3428707560 in words is "three billion, four hundred twenty-eight million, seven hundred seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 98867 197734 296601 395468 494335 593202 790936 988670 1186404 1483005 1680739 1977340 2372808 2966010 3361478 3954680 5042217 5932020 6722956 8403695 10084434 11864040 13445912 16807390 20168868 25211085 28572563 33614780 40337736 50422170 57145126 67229560 85717689 100844340 114290252 142862815 171435378 201688680 228580504 285725630 342870756 428588445 571451260 685741512 857176890 1142902520 1714353780 3428707560