Search a number
-
+
2341872 = 243413139
BaseRepresentation
bin1000111011101111110000
311101222110000
420323233300
51044414442
6122110000
725622421
oct10735760
94358400
102341872
11135a535
1294b300
1363cc30
1444d648
15313d4c
hex23bbf0

2341872 has 100 divisors (see below), whose sum is σ = 7351960. Its totient is φ = 715392.

The previous prime is 2341861. The next prime is 2341873. The reversal of 2341872 is 2781432.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341873) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 16779 + ... + 16917.

22341872 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 2341872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675980).

2341872 is an abundant number, since it is smaller than the sum of its proper divisors (5010088).

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

2341872 is a wasteful number, since it uses less digits than its factorization.

2341872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2341872 is about 1530.3176140919. The cubic root of 2341872 is about 132.7968330401.

2341872 divided by its sum of digits (27) gives a triangular number (86736 = T416).

The spelling of 2341872 in words is "two million, three hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 139 144 156 162 208 216 234 278 312 324 351 417 432 468 556 624 648 702 834 936 1053 1112 1251 1296 1404 1668 1807 1872 2106 2224 2502 2808 3336 3614 3753 4212 5004 5421 5616 6672 7228 7506 8424 10008 10842 11259 14456 15012 16263 16848 20016 21684 22518 28912 30024 32526 43368 45036 48789 60048 65052 86736 90072 97578 130104 146367 180144 195156 260208 292734 390312 585468 780624 1170936 2341872