[go: up one dir, main page]

Search a number
-
+
3001914 = 233232417
BaseRepresentation
bin1011011100111000111010
312122111212000
423130320322
51232030124
6144201430
734341636
oct13347072
95574760
103001914
111770423
121009276
138114a6
14581dc6
153e46c9
hex2dce3a

3001914 has 32 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 956736.

The previous prime is 3001909. The next prime is 3001919. The reversal of 3001914 is 4191003.

It is an interprime number because it is at equal distance from previous prime (3001909) and next prime (3001919).

It is a super-2 number, since 2×30019142 = 18022975326792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3001919) 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 15 ways as a sum of consecutive naturals, for example, 34 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 23001914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

3001914 is an abundant number, since it is smaller than the sum of its proper divisors (3961926).

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

3001914 is a wasteful number, since it uses less digits than its factorization.

3001914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3001914 is about 1732.6032436770. The cubic root of 3001914 is about 144.2556223510.

Adding to 3001914 its reverse (4191003), we get a palindrome (7192917).

The spelling of 3001914 in words is "three million, one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 2417 4834 7251 14502 21753 43506 55591 65259 111182 130518 166773 333546 500319 1000638 1500957 3001914