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343440302140 = 2251310985314207
BaseRepresentation
bin1001111111101101010…
…00110010000000111100
31012211110221112000120101
410333312220302000330
521111331204132030
6421435125330444
733545525254465
oct4776650620074
91184427460511
10343440302140
1112271a108251
1256689566a24
13265038781c0
14128a05abd6c
158e0120e7ca
hex4ff6a3203c

343440302140 has 96 divisors (see below), whose sum is σ = 784803317760. Its totient is φ = 125489212416.

The previous prime is 343440302089. The next prime is 343440302209. The reversal of 343440302140 is 41203044343.

It is a super-2 number, since 2×3434403021402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343440302099 and 343440302108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24166917 + ... + 24181123.

It is an arithmetic number, because the mean of its divisors is an integer number (8175034560).

Almost surely, 2343440302140 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 343440302140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392401658880).

343440302140 is an abundant number, since it is smaller than the sum of its proper divisors (441363015620).

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

343440302140 is a wasteful number, since it uses less digits than its factorization.

343440302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15191 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 343440302140 its reverse (41203044343), we get a palindrome (384643346483).

The spelling of 343440302140 in words is "three hundred forty-three billion, four hundred forty million, three hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 853 1090 1417 1706 2180 2834 3412 4265 5668 7085 8530 11089 14170 14207 17060 22178 28340 28414 44356 55445 56828 71035 92977 110890 142070 184691 185954 221780 284140 369382 371908 464885 738764 923455 929770 1208701 1548563 1846910 1859540 2417402 3097126 3693820 4834804 6043505 6194252 7742815 12087010 12118571 15485630 20131319 24174020 24237142 30971260 40262638 48474284 60592855 80525276 100656595 121185710 157541423 201313190 242371420 315082846 402626380 630165692 787707115 1320924239 1575414230 2641848478 3150828460 5283696956 6604621195 13209242390 17172015107 26418484780 34344030214 68688060428 85860075535 171720151070 343440302140