Search a number
-
+
2904768 = 2633412
BaseRepresentation
bin1011000101001011000000
312110120121000
423011023000
51220423033
6142132000
733455466
oct13051300
95416530
102904768
111704439
12b81000
137a91c9
14558836
153c5a13
hex2c52c0

2904768 has 84 divisors (see below), whose sum is σ = 8752840. Its totient is φ = 944640.

The previous prime is 2904767. The next prime is 2904791. The reversal of 2904768 is 8674092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2904763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70828 + ... + 70868.

22904768 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 2904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376420).

2904768 is an abundant number, since it is smaller than the sum of its proper divisors (5848072).

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

2904768 is an equidigital number, since it uses as much as digits as its factorization.

2904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2904768 is about 1704.3379946478. The cubic root of 2904768 is about 142.6824256425.

The spelling of 2904768 in words is "two million, nine hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1681 1728 1968 2214 2624 2952 3362 3936 4428 5043 5904 6724 7872 8856 10086 11808 13448 15129 17712 20172 23616 26896 30258 35424 40344 45387 53792 60516 70848 80688 90774 107584 121032 161376 181548 242064 322752 363096 484128 726192 968256 1452384 2904768