Search a number
-
+
2997312 = 26367233
BaseRepresentation
bin1011011011110001000000
312122021112120
423123301000
51231403222
6144124240
734322343
oct13336100
95567476
102997312
111767a1a
121006680
1380c376
1458045a
153e315c
hex2dbc40

2997312 has 56 divisors (see below), whose sum is σ = 8083296. Its totient is φ = 979968.

The previous prime is 2997311. The next prime is 2997329. The reversal of 2997312 is 2137992.

2997312 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2997311) 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, 12748 + ... + 12980.

22997312 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 2997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648).

2997312 is an abundant number, since it is smaller than the sum of its proper divisors (5085984).

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

2997312 is a wasteful number, since it uses less digits than its factorization.

2997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 2997312 is about 1731.2746749144. The cubic root of 2997312 is about 144.1818689720.

The spelling of 2997312 in words is "two million, nine hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 233 268 402 466 536 699 804 932 1072 1398 1608 1864 2144 2796 3216 3728 4288 5592 6432 7456 11184 12864 14912 15611 22368 31222 44736 46833 62444 93666 124888 187332 249776 374664 499552 749328 999104 1498656 2997312