Search a number
-
+
16834356 = 22327116073
BaseRepresentation
bin100000000110…
…1111100110100
31011200021101200
41000031330310
513302144411
61400452500
7263042520
oct100157464
934607350
1016834356
1195589a0
12577a130
133645576
142342d80
151727e56
hex100df34

16834356 has 72 divisors (see below), whose sum is σ = 53062464. Its totient is φ = 4371840.

The previous prime is 16834351. The next prime is 16834379. The reversal of 16834356 is 65343861.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16834356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16834351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265 + ... + 5808.

Almost surely, 216834356 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 16834356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26531232).

16834356 is an abundant number, since it is smaller than the sum of its proper divisors (36228108).

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

16834356 is a wasteful number, since it uses less digits than its factorization.

16834356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6096 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 16834356 is about 4102.9691687850. The cubic root of 16834356 is about 256.2902997495.

The spelling of 16834356 in words is "sixteen million, eight hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 6073 12146 18219 24292 36438 42511 54657 66803 72876 85022 109314 127533 133606 170044 200409 218628 255066 267212 382599 400818 467621 510132 601227 765198 801636 935242 1202454 1402863 1530396 1870484 2404908 2805726 4208589 5611452 8417178 16834356