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2904328 = 237231239
BaseRepresentation
bin1011000101000100001000
312110112222201
423011010020
51220414303
6142125544
733454300
oct13050410
95415881
102904328
111704079
12b808b4
137a8c4b
14558600
153c581d
hex2c5108

2904328 has 48 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 1199520.

The previous prime is 2904323. The next prime is 2904329. The reversal of 2904328 is 8234092.

2904328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29043282 = 16870242263168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2904296 and 2904305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12033 + ... + 12271.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

22904328 is an apocalyptic number.

2904328 is a gapful number since it is divisible by the number (28) 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 2904328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2904328 is an abundant number, since it is smaller than the sum of its proper divisors (3662072).

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

2904328 is a wasteful number, since it uses less digits than its factorization.

2904328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2904328 is about 1704.2089073820. The cubic root of 2904328 is about 142.6752210008.

The spelling of 2904328 in words is "two million, nine hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 239 248 392 434 478 868 956 1519 1673 1736 1912 3038 3346 6076 6692 7409 11711 12152 13384 14818 23422 29636 46844 51863 59272 93688 103726 207452 363041 414904 726082 1452164 2904328