Search a number
-
+
2249304 = 2331737149
BaseRepresentation
bin1000100101001001011000
311020021110120
420211021120
51033434204
6120113240
725055511
oct10451130
94207416
102249304
1112a6a32
12905820
13609a65
14427a08
152e66d9
hex225258

2249304 has 64 divisors (see below), whose sum is σ = 6156000. Its totient is φ = 681984.

The previous prime is 2249293. The next prime is 2249309. The reversal of 2249304 is 4039422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15022 + ... + 15170.

22249304 is an apocalyptic number.

2249304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078000).

2249304 is an abundant number, since it is smaller than the sum of its proper divisors (3906696).

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

2249304 is a wasteful number, since it uses less digits than its factorization.

2249304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2249304 is about 1499.7679820559. The cubic root of 2249304 is about 131.0235569392.

The spelling of 2249304 in words is "two million, two hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 149 204 222 296 298 408 444 447 596 629 888 894 1192 1258 1788 1887 2516 2533 3576 3774 5032 5066 5513 7548 7599 10132 11026 15096 15198 16539 20264 22052 30396 33078 44104 60792 66156 93721 132312 187442 281163 374884 562326 749768 1124652 2249304