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16349172 = 2237171072
BaseRepresentation
bin111110010111…
…011111110100
31010202121211220
4332113133310
513141133142
61342230340
7255652140
oct76273764
933677756
1016349172
119257414
1255853b0
133505788
142258220
15167e2ec
hexf977f4

16349172 has 72 divisors (see below), whose sum is σ = 46597824. Its totient is φ = 4355328.

The previous prime is 16349167. The next prime is 16349197. The reversal of 16349172 is 27194361.

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 23 ways as a sum of consecutive naturals, for example, 152743 + ... + 152849.

It is an arithmetic number, because the mean of its divisors is an integer number (647192).

Almost surely, 216349172 is an apocalyptic number.

16349172 is a gapful number since it is divisible by the number (12) 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 16349172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

16349172 is an abundant number, since it is smaller than the sum of its proper divisors (30248652).

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

16349172 is a wasteful number, since it uses less digits than its factorization.

16349172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 136 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 16349172 is about 4043.4109363259. The cubic root of 16349172 is about 253.8040731828.

The spelling of 16349172 in words is "sixteen million, three hundred forty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 107 119 204 214 238 321 357 428 476 642 714 749 1284 1428 1498 1819 2247 2996 3638 4494 5457 7276 8988 10914 11449 12733 21828 22898 25466 34347 38199 45796 50932 68694 76398 80143 137388 152796 160286 194633 240429 320572 389266 480858 583899 778532 961716 1167798 1362431 2335596 2724862 4087293 5449724 8174586 16349172