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3480346716 = 223721134447
BaseRepresentation
bin1100111101110001…
…1110000001011100
322222112212221011020
43033130132001130
524111432043331
61333203524140
7152150313300
oct31734360134
98875787136
103480346716
111526624000
12811689650
13436077c72
14250323d00
15155828c96
hexcf71e05c

3480346716 has 144 divisors (see below), whose sum is σ = 10392947712. Its totient is φ = 903782880.

The previous prime is 3480346687. The next prime is 3480346741. The reversal of 3480346716 is 6176430843.

It is a happy number.

It is a super-2 number, since 2×34803467162 = 24225626527143969312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 780405 + ... + 784851.

It is an arithmetic number, because the mean of its divisors is an integer number (72173248).

Almost surely, 23480346716 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 3480346716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196473856).

3480346716 is an abundant number, since it is smaller than the sum of its proper divisors (6912600996).

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

3480346716 is a wasteful number, since it uses less digits than its factorization.

3480346716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3480346716 is about 58994.4634351394. The cubic root of 3480346716 is about 1515.4472955197.

The spelling of 3480346716 in words is "three billion, four hundred eighty million, three hundred forty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1331 1452 1617 1694 2156 2541 2662 3234 3388 3993 4447 5082 5324 5929 6468 7986 8894 9317 10164 11858 13341 15972 17787 17788 18634 23716 26682 27951 31129 35574 37268 48917 53364 55902 62258 65219 71148 93387 97834 111804 124516 130438 146751 186774 195657 195668 217903 260876 293502 342419 373548 391314 435806 538087 587004 653709 684838 782628 871612 1027257 1076174 1307418 1369676 1614261 2054514 2152348 2396933 2614836 3228522 3766609 4109028 4793866 5918957 6457044 7190799 7533218 9587732 11299827 11837914 14381598 15066436 17756871 22599654 23675828 26366263 28763196 35513742 41432699 45199308 52732526 71027484 79098789 82865398 105465052 124298097 158197578 165730796 248596194 290028893 316395156 497192388 580057786 870086679 1160115572 1740173358 3480346716