Search a number
-
+
2884704 = 253151199
BaseRepresentation
bin1011000000010001100000
312102120001220
423000101200
51214302304
6141455040
733343134
oct13002140
95376056
102884704
1116a0359
12b71480
137a0034
145513c4
153bead9
hex2c0460

2884704 has 48 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 950400.

The previous prime is 2884699. The next prime is 2884709. The reversal of 2884704 is 4074882.

2884704 = 1802 + 1812 + ... + 2432.

2884704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2884699) and next prime (2884709).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14397 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

22884704 is an apocalyptic number.

2884704 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 2884704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2884704 is an abundant number, since it is smaller than the sum of its proper divisors (4776096).

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

2884704 is a wasteful number, since it uses less digits than its factorization.

2884704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2884704 is about 1698.4416386794. The cubic root of 2884704 is about 142.3531512765.

The spelling of 2884704 in words is "two million, eight hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 199 302 398 453 597 604 796 906 1194 1208 1592 1812 2388 2416 3184 3624 4776 4832 6368 7248 9552 14496 19104 30049 60098 90147 120196 180294 240392 360588 480784 721176 961568 1442352 2884704