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3405140440 = 2351323116249
BaseRepresentation
bin1100101011110110…
…0101000111011000
322210022101001112121
43022331211013120
523433203443230
61321515551024
7150245134102
oct31275450730
98708331477
103405140440
111498127459
127b045b474
13423605800
14244348572
1514de2077a
hexcaf651d8

3405140440 has 96 divisors (see below), whose sum is σ = 8564400000. Its totient is φ = 1216650240.

The previous prime is 3405140429. The next prime is 3405140441. The reversal of 3405140440 is 440415043.

It is a super-2 number, since 2×34051404402 = 23189962832246787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405140441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201436 + ... + 217684.

It is an arithmetic number, because the mean of its divisors is an integer number (89212500).

Almost surely, 23405140440 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 3405140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282200000).

3405140440 is an abundant number, since it is smaller than the sum of its proper divisors (5159259560).

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

3405140440 is a wasteful number, since it uses less digits than its factorization.

3405140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3405140440 is about 58353.5812097253. The cubic root of 3405140440 is about 1504.4520236214.

Adding to 3405140440 its reverse (440415043), we get a palindrome (3845555483).

The spelling of 3405140440 in words is "three billion, four hundred five million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 169 248 260 310 338 403 520 620 676 806 845 1240 1352 1612 1690 2015 3224 3380 4030 5239 6760 8060 10478 16120 16249 20956 26195 32498 41912 52390 64996 81245 104780 129992 162490 209560 211237 324980 422474 503719 649960 844948 1007438 1056185 1689896 2014876 2112370 2518595 2746081 4029752 4224740 5037190 5492162 6548347 8449480 10074380 10984324 13096694 13730405 20148760 21968648 26193388 27460810 32741735 52386776 54921620 65483470 85128511 109843240 130966940 170257022 261933880 340514044 425642555 681028088 851285110 1702570220 3405140440