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3402210340 = 2251741614001
BaseRepresentation
bin1100101011001001…
…1001110000100100
322210002212012012101
43022302121300210
523431431212330
61321333101444
7150211211404
oct31262316044
98702765171
103402210340
111496505a91
127ab487884
13422b1ac19
14243bc4804
1514da424ca
hexcac99c24

3402210340 has 96 divisors (see below), whose sum is σ = 7878433248. Its totient is φ = 1228800000.

The previous prime is 3402210293. The next prime is 3402210341. The reversal of 3402210340 is 430122043.

It can be written as a sum of positive squares in 16 ways, for example, as 2936772864 + 465437476 = 54192^2 + 21574^2 .

It is not an unprimeable number, because it can be changed into a prime (3402210341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848340 + ... + 852340.

It is an arithmetic number, because the mean of its divisors is an integer number (82067013).

Almost surely, 23402210340 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 3402210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939216624).

3402210340 is an abundant number, since it is smaller than the sum of its proper divisors (4476222908).

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

3402210340 is a wasteful number, since it uses less digits than its factorization.

3402210340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3402210340 is about 58328.4693781690. The cubic root of 3402210340 is about 1504.0203762376.

Adding to 3402210340 its reverse (430122043), we get a palindrome (3832332383).

The spelling of 3402210340 in words is "three billion, four hundred two million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 61 68 82 85 122 164 170 205 244 305 340 410 610 697 820 1037 1220 1394 2074 2501 2788 3485 4001 4148 5002 5185 6970 8002 10004 10370 12505 13940 16004 20005 20740 25010 40010 42517 50020 68017 80020 85034 136034 164041 170068 212585 244061 272068 328082 340085 425170 488122 656164 680170 820205 850340 976244 1220305 1360340 1640410 2440610 2788697 3280820 4149037 4881220 5577394 8298074 10006501 11154788 13943485 16596148 20013002 20745185 27886970 40026004 41490370 50032505 55773940 82980740 100065010 170110517 200130020 340221034 680442068 850552585 1701105170 3402210340