Search a number
-
+
2904336 = 243783
BaseRepresentation
bin1011000101000100010000
312110120000000
423011010100
51220414321
6142130000
733454311
oct13050420
95416000
102904336
111704086
12b80900
137a8c56
14558608
153c5826
hex2c5110

2904336 has 80 divisors (see below), whose sum is σ = 8541120. Its totient is φ = 956448.

The previous prime is 2904329. The next prime is 2904353. The reversal of 2904336 is 6334092.

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

It is an Ulam 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, 34951 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (106764).

22904336 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 2904336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270560).

2904336 is an abundant number, since it is smaller than the sum of its proper divisors (5636784).

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

2904336 is an frugal number, since it uses more digits than its factorization.

2904336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2904336 is about 1704.2112545104. The cubic root of 2904336 is about 142.6753520008.

2904336 divided by its product of nonzero digits (3888) gives a palindrome (747).

It can be divided in two parts, 2904 and 336, that added together give a triangular number (3240 = T80).

The spelling of 2904336 in words is "two million, nine hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 243 249 324 332 432 486 498 648 664 729 747 972 996 1296 1328 1458 1494 1944 1992 2187 2241 2916 2988 3888 3984 4374 4482 5832 5976 6723 8748 8964 11664 11952 13446 17496 17928 20169 26892 34992 35856 40338 53784 60507 80676 107568 121014 161352 181521 242028 322704 363042 484056 726084 968112 1452168 2904336