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2990328 = 2331147241
BaseRepresentation
bin1011011010000011111000
312121220221220
423122003320
51231142303
6144032040
734263105
oct13320370
95556856
102990328
111762750
121002620
13809133
1457baac
153e1053
hex2da0f8

2990328 has 64 divisors (see below), whose sum is σ = 8363520. Its totient is φ = 883200.

The previous prime is 2990279. The next prime is 2990333. The reversal of 2990328 is 8230992.

2990328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12288 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (130680).

22990328 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 2990328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181760).

2990328 is an abundant number, since it is smaller than the sum of its proper divisors (5373192).

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

2990328 is a wasteful number, since it uses less digits than its factorization.

2990328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2990328 is about 1729.2564876270. The cubic root of 2990328 is about 144.0697964113.

The spelling of 2990328 in words is "two million, nine hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 241 264 282 376 482 517 564 723 964 1034 1128 1446 1551 1928 2068 2651 2892 3102 4136 5302 5784 6204 7953 10604 11327 12408 15906 21208 22654 31812 33981 45308 63624 67962 90616 124597 135924 249194 271848 373791 498388 747582 996776 1495164 2990328