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16344342 = 234722971
BaseRepresentation
bin111110010110…
…010100010110
31010202101020000
4332112110112
513141004332
61342152130
7255632100
oct76262426
933671200
1016344342
119253823
125582646
133503511
142256570
15167cb7c
hexf96516

16344342 has 120 divisors (see below), whose sum is σ = 44692560. Its totient is φ = 4445280.

The previous prime is 16344331. The next prime is 16344397. The reversal of 16344342 is 24344361.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (6912) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 230167 + ... + 230237.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 216344342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16344342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346280).

16344342 is an abundant number, since it is smaller than the sum of its proper divisors (28348218).

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

16344342 is a wasteful number, since it uses less digits than its factorization.

16344342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 16344342 is about 4042.8136241979. The cubic root of 16344342 is about 253.7790771277.

The spelling of 16344342 in words is "sixteen million, three hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 71 81 87 98 126 142 147 162 174 189 203 213 261 294 378 406 426 441 497 522 567 609 639 783 882 994 1134 1218 1278 1323 1421 1491 1566 1827 1917 2059 2349 2646 2842 2982 3479 3654 3834 3969 4118 4263 4473 4698 5481 5751 6177 6958 7938 8526 8946 10437 10962 11502 12354 12789 13419 14413 16443 18531 20874 25578 26838 28826 31311 32886 37062 38367 40257 43239 55593 62622 76734 80514 86478 93933 100891 111186 115101 129717 166779 187866 201782 230202 259434 281799 302673 333558 389151 563598 605346 778302 908019 1167453 1816038 2334906 2724057 5448114 8172171 16344342