Search a number
-
+
2144394 = 23473161
BaseRepresentation
bin1000001011100010001010
311000221120000
420023202022
51022110034
6113543430
724140610
oct10134212
94027500
102144394
11123512a
12874b76
135a1095
143db6b0
152c5599
hex20b88a

2144394 has 80 divisors (see below), whose sum is σ = 5761536. Its totient is φ = 583200.

The previous prime is 2144383. The next prime is 2144399. The reversal of 2144394 is 4934412.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144399) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35124 + ... + 35184.

22144394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880768).

2144394 is an abundant number, since it is smaller than the sum of its proper divisors (3617142).

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

2144394 is a wasteful number, since it uses less digits than its factorization.

2144394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

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

The square root of 2144394 is about 1464.3749519846. The cubic root of 2144394 is about 128.9540128130.

The spelling of 2144394 in words is "two million, one hundred forty-four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 61 62 63 81 93 122 126 162 183 186 189 217 279 366 378 427 434 549 558 567 651 837 854 1098 1134 1281 1302 1647 1674 1891 1953 2511 2562 3294 3782 3843 3906 4941 5022 5673 5859 7686 9882 11346 11529 11718 13237 17019 17577 23058 26474 34038 34587 35154 39711 51057 69174 79422 102114 119133 153171 238266 306342 357399 714798 1072197 2144394