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3128334 = 2311231139
BaseRepresentation
bin1011111011110000001110
312212221021020
423323300032
51300101314
6151015010
735406336
oct13736016
95787236
103128334
111847400
12106a466
13856bb1
145b60c6
1541bda9
hex2fbc0e

3128334 has 48 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 910800.

The previous prime is 3128329. The next prime is 3128339. The reversal of 3128334 is 4338213.

It is an interprime number because it is at equal distance from previous prime (3128329) and next prime (3128339).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128339) 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, 22437 + ... + 22575.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 23128334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).

3128334 is an abundant number, since it is smaller than the sum of its proper divisors (4021746).

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

3128334 is a wasteful number, since it uses less digits than its factorization.

3128334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3128334 is about 1768.7096991875. The cubic root of 3128334 is about 146.2528613656.

It can be divided in two parts, 312 and 8334, that added together give a triangular number (8646 = T131).

The spelling of 3128334 in words is "three million, one hundred twenty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 139 186 242 278 341 363 417 682 726 834 1023 1529 2046 3058 3751 4309 4587 7502 8618 9174 11253 12927 16819 22506 25854 33638 47399 50457 94798 100914 142197 284394 521389 1042778 1564167 3128334