Search a number
-
+
16342641 = 347193741
BaseRepresentation
bin111110010101…
…111001110001
31010202021220000
4332111321301
513140431031
61342140213
7255624120
oct76257161
933667800
1016342641
119252517
125581669
133502803
142255ab7
15167c3e6
hexf95e71

16342641 has 80 divisors (see below), whose sum is σ = 30898560. Its totient is φ = 8398080.

The previous prime is 16342637. The next prime is 16342649. The reversal of 16342641 is 14624361.

16342641 is a `hidden beast` number, since 1 + 634 + 26 + 4 + 1 = 666.

It is not a de Polignac number, because 16342641 - 22 = 16342637 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (16342649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 398581 + ... + 398621.

It is an arithmetic number, because the mean of its divisors is an integer number (386232).

Almost surely, 216342641 is an apocalyptic number.

It is an amenable number.

16342641 is a deficient number, since it is larger than the sum of its proper divisors (14555919).

16342641 is a wasteful number, since it uses less digits than its factorization.

16342641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16342641 is about 4042.6032454348. The cubic root of 16342641 is about 253.7702729967.

The spelling of 16342641 in words is "sixteen million, three hundred forty-two thousand, six hundred forty-one".

Divisors: 1 3 7 9 19 21 27 37 41 57 63 81 111 123 133 171 189 259 287 333 369 399 513 567 703 777 779 861 999 1107 1197 1517 1539 2109 2331 2337 2583 2997 3321 3591 4551 4921 5453 6327 6993 7011 7749 10619 10773 13653 14763 16359 18981 20979 21033 23247 28823 31857 40959 44289 49077 56943 63099 86469 95571 122877 132867 147231 201761 259407 286713 398601 441693 605283 778221 860139 1815849 2334663 5447547 16342641