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16349340 = 2235726783
BaseRepresentation
bin111110010111…
…100010011100
31010202122002010
4332113202130
513141134330
61342231220
7255652500
oct76274234
933678063
1016349340
119257557
125585510
133505887
142258300
15167e3b0
hexf9789c

16349340 has 144 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 3636864.

The previous prime is 16349339. The next prime is 16349351. The reversal of 16349340 is 4394361.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16349298 and 16349307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196939 + ... + 197021.

It is an arithmetic number, because the mean of its divisors is an integer number (379848).

Almost surely, 216349340 is an apocalyptic number.

16349340 is a gapful number since it is divisible by the number (10) 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 16349340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

16349340 is an abundant number, since it is smaller than the sum of its proper divisors (38348772).

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

16349340 is a wasteful number, since it uses less digits than its factorization.

16349340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 16349340 is about 4043.4317108120. The cubic root of 16349340 is about 253.8049425222.

The spelling of 16349340 in words is "sixteen million, three hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 83 84 98 105 134 140 147 166 196 201 210 245 249 268 294 332 335 402 415 420 469 490 498 581 588 670 735 804 830 938 980 996 1005 1162 1245 1340 1407 1470 1660 1743 1876 2010 2324 2345 2490 2814 2905 2940 3283 3486 4020 4067 4690 4980 5561 5628 5810 6566 6972 7035 8134 8715 9380 9849 11122 11620 12201 13132 14070 16268 16415 16683 17430 19698 20335 22244 24402 27805 28140 32830 33366 34860 38927 39396 40670 48804 49245 55610 61005 65660 66732 77854 81340 83415 98490 111220 116781 122010 155708 166830 194635 196980 233562 244020 272489 333660 389270 467124 544978 583905 778540 817467 1089956 1167810 1362445 1634934 2335620 2724890 3269868 4087335 5449780 8174670 16349340