Search a number
-
+
2234904 = 233753251
BaseRepresentation
bin1000100001101000011000
311012112201020
420201220120
51033004104
6115522440
724665520
oct10415030
94175636
102234904
111297131
128b9420
13603339
14422680
152e22d9
hex221a18

2234904 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 624000.

The previous prime is 2234899. The next prime is 2234923. The reversal of 2234904 is 4094322.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8779 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22234904 is an apocalyptic number.

2234904 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 2234904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2234904 is an abundant number, since it is smaller than the sum of its proper divisors (4296936).

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

2234904 is a wasteful number, since it uses less digits than its factorization.

2234904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

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

The square root of 2234904 is about 1494.9595312248. The cubic root of 2234904 is about 130.7433547239.

The spelling of 2234904 in words is "two million, two hundred thirty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 251 318 371 424 502 636 742 753 1004 1113 1272 1484 1506 1757 2008 2226 2968 3012 3514 4452 5271 6024 7028 8904 10542 13303 14056 21084 26606 39909 42168 53212 79818 93121 106424 159636 186242 279363 319272 372484 558726 744968 1117452 2234904