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2994336 = 253237281
BaseRepresentation
bin1011011011000010100000
312122010110100
423123002200
51231304321
6144102400
734310562
oct13330240
95563410
102994336
111765764
121004a00
1380abc7
1457d332
153e2326
hex2db0a0

2994336 has 72 divisors (see below), whose sum is σ = 8776404. Its totient is φ = 967680.

The previous prime is 2994319. The next prime is 2994361. The reversal of 2994336 is 6334992.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 291600 = 1644^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 221 + 92 + 93 + 49 + 311 + 311 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2994336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10516 + ... + 10796.

22994336 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 2994336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388202).

2994336 is an abundant number, since it is smaller than the sum of its proper divisors (5782068).

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

2994336 is a wasteful number, since it uses less digits than its factorization.

2994336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 2994336 is about 1730.4149791307. The cubic root of 2994336 is about 144.1341342760.

The spelling of 2994336 in words is "two million, nine hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 281 288 296 333 444 562 592 666 843 888 1124 1184 1332 1686 1776 2248 2529 2664 3372 3552 4496 5058 5328 6744 8992 10116 10397 10656 13488 20232 20794 26976 31191 40464 41588 62382 80928 83176 93573 124764 166352 187146 249528 332704 374292 499056 748584 998112 1497168 2994336