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3420310340 = 2253717326717
BaseRepresentation
bin1100101111011101…
…1100101101000100
322211100220202201202
43023313130231010
524001044412330
61323221042032
7150521105156
oct31367345504
98740822652
103420310340
1114a5748867
127b5556318
134267b7595
14246376ad6
1515041a445
hexcbddcb44

3420310340 has 48 divisors (see below), whose sum is σ = 7419695472. Its totient is φ = 1323403776.

The previous prime is 3420310339. The next prime is 3420310379. The reversal of 3420310340 is 430130243.

It can be written as a sum of positive squares in 8 ways, for example, as 185885956 + 3234424384 = 13634^2 + 56872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114662 + ... + 141378.

It is an arithmetic number, because the mean of its divisors is an integer number (154576989).

Almost surely, 23420310340 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 3420310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709847736).

3420310340 is an abundant number, since it is smaller than the sum of its proper divisors (3999385132).

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

3420310340 is a wasteful number, since it uses less digits than its factorization.

3420310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26936 (or 26934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3420310340 is about 58483.4193596783. The cubic root of 3420310340 is about 1506.6828253112.

Adding to 3420310340 its reverse (430130243), we get a palindrome (3850440583).

The spelling of 3420310340 in words is "three billion, four hundred twenty million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 173 185 346 370 692 740 865 1730 3460 6401 12802 25604 26717 32005 53434 64010 106868 128020 133585 267170 534340 988529 1977058 3954116 4622041 4942645 9244082 9885290 18488164 19770580 23110205 46220410 92440820 171015517 342031034 684062068 855077585 1710155170 3420310340