Search a number
-
+
2366944 = 251719229
BaseRepresentation
bin1001000001110111100000
311110020211121
421001313200
51101220234
6122422024
726055466
oct11016740
94406747
102366944
111377358
12961914
1364b478
14458836
1531b4b4
hex241de0

2366944 has 48 divisors (see below), whose sum is σ = 5216400. Its totient is φ = 1050624.

The previous prime is 2366939. The next prime is 2366957. The reversal of 2366944 is 4496632.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 219 + 35 + 62 + 63 + 96 + 49 + 410 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10222 + ... + 10450.

It is an arithmetic number, because the mean of its divisors is an integer number (108675).

22366944 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 2366944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608200).

2366944 is an abundant number, since it is smaller than the sum of its proper divisors (2849456).

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

2366944 is a wasteful number, since it uses less digits than its factorization.

2366944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 2366944 is about 1538.4875690106. The cubic root of 2366944 is about 133.2690579089.

The spelling of 2366944 in words is "two million, three hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 229 272 304 323 458 544 608 646 916 1292 1832 2584 3664 3893 4351 5168 7328 7786 8702 10336 15572 17404 31144 34808 62288 69616 73967 124576 139232 147934 295868 591736 1183472 2366944