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3514160340 = 22325231077933
BaseRepresentation
bin1101000101110101…
…1101010011010100
3100001220111211201200
43101131131103110
524144111112330
61340412352500
7153040604265
oct32135352324
910056454650
103514160340
111543719749
12820a75730
13440086a22
14254a0696c
151587a7a60
hexd175d4d4

3514160340 has 144 divisors (see below), whose sum is σ = 11228450688. Its totient is φ = 887876352.

The previous prime is 3514160339. The next prime is 3514160357. The reversal of 3514160340 is 430614153.

3514160340 is a `hidden beast` number, since 3 + 5 + 14 + 1 + 603 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 439014 + ... + 446946.

It is an arithmetic number, because the mean of its divisors is an integer number (77975352).

Almost surely, 23514160340 is an apocalyptic number.

3514160340 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 3514160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614225344).

3514160340 is an abundant number, since it is smaller than the sum of its proper divisors (7714290348).

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

3514160340 is a wasteful number, since it uses less digits than its factorization.

3514160340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3514160340 is about 59280.3537438838. The cubic root of 3514160340 is about 1520.3393084844.

Adding to 3514160340 its reverse (430614153), we get a palindrome (3944774493).

It can be divided in two parts, 35141 and 60340, that added together give a square (95481 = 3092).

The spelling of 3514160340 in words is "three billion, five hundred fourteen million, one hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 107 115 138 180 207 214 230 276 321 345 414 428 460 535 642 690 828 963 1035 1070 1284 1380 1605 1926 2070 2140 2461 3210 3852 4140 4815 4922 6420 7383 7933 9630 9844 12305 14766 15866 19260 22149 23799 24610 29532 31732 36915 39665 44298 47598 49220 71397 73830 79330 88596 95196 110745 118995 142794 147660 158660 182459 221490 237990 285588 356985 364918 442980 475980 547377 713970 729836 848831 912295 1094754 1427940 1642131 1697662 1824590 2189508 2546493 2736885 3284262 3395324 3649180 4244155 5092986 5473770 6568524 7639479 8210655 8488310 10185972 10947540 12732465 15278958 16421310 16976620 19523113 25464930 30557916 32842620 38197395 39046226 50929860 58569339 76394790 78092452 97615565 117138678 152789580 175708017 195231130 234277356 292846695 351416034 390462260 585693390 702832068 878540085 1171386780 1757080170 3514160340