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2996334 = 2321137409
BaseRepresentation
bin1011011011100001101110
312122020012100
423123201232
51231340314
6144115530
734316445
oct13334156
95566170
102996334
111767210
121005ba6
1380baa3
1457dd5c
153e2c09
hex2db86e

2996334 has 48 divisors (see below), whose sum is σ = 7291440. Its totient is φ = 881280.

The previous prime is 2996333. The next prime is 2996339. The reversal of 2996334 is 4336992.

It is a happy number.

It is a d-powerful number, because it can be written as 219 + 92 + 93 + 67 + 312 + 313 + 48 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7122 + ... + 7530.

It is an arithmetic number, because the mean of its divisors is an integer number (151905).

22996334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645720).

2996334 is an abundant number, since it is smaller than the sum of its proper divisors (4295106).

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

2996334 is a wasteful number, since it uses less digits than its factorization.

2996334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

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

The square root of 2996334 is about 1730.9922010223. The cubic root of 2996334 is about 144.1661854521.

The spelling of 2996334 in words is "two million, nine hundred ninety-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 409 666 814 818 1221 1227 2442 2454 3663 3681 4499 7326 7362 8998 13497 15133 26994 30266 40491 45399 80982 90798 136197 166463 272394 332926 499389 998778 1498167 2996334