Search a number
-
+
16666344 = 23331931131
BaseRepresentation
bin111111100100…
…111011101000
31011100201221000
4333210323220
513231310334
61353115000
7261442632
oct77447350
934321830
1016666344
119453742
1256b8a60
1335b6c56
1422dba52
1516e3299
hexfe4ee8

16666344 has 128 divisors (see below), whose sum is σ = 50688000. Its totient is φ = 5054400.

The previous prime is 16666343. The next prime is 16666357. The reversal of 16666344 is 44366661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16666299 and 16666308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16666343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127159 + ... + 127289.

It is an arithmetic number, because the mean of its divisors is an integer number (396000).

Almost surely, 216666344 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 16666344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25344000).

16666344 is an abundant number, since it is smaller than the sum of its proper divisors (34021656).

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

16666344 is a wasteful number, since it uses less digits than its factorization.

16666344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 16666344 is about 4082.4433860128. The cubic root of 16666344 is about 255.4348290371.

The spelling of 16666344 in words is "sixteen million, six hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 131 152 171 186 216 228 248 262 279 342 372 393 456 513 524 558 589 684 744 786 837 1026 1048 1116 1178 1179 1368 1572 1674 1767 2052 2232 2356 2358 2489 3144 3348 3534 3537 4061 4104 4712 4716 4978 5301 6696 7068 7074 7467 8122 9432 9956 10602 12183 14136 14148 14934 15903 16244 19912 21204 22401 24366 28296 29868 31806 32488 36549 42408 44802 48732 59736 63612 67203 73098 77159 89604 97464 109647 127224 134406 146196 154318 179208 219294 231477 268812 292392 308636 438588 462954 537624 617272 694431 877176 925908 1388862 1851816 2083293 2777724 4166586 5555448 8333172 16666344