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3114540 = 2232511313
BaseRepresentation
bin1011111000011000101100
312212020100100
423320120230
51244131130
6150431100
735321202
oct13703054
95766310
103114540
111838000
121062490
13850830
145b1072
15417c60
hex2f862c

3114540 has 144 divisors (see below), whose sum is σ = 11190816. Its totient is φ = 696960.

The previous prime is 3114523. The next prime is 3114541. The reversal of 3114540 is 454113.

It is a happy number.

3114540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3114541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239574 + ... + 239586.

It is an arithmetic number, because the mean of its divisors is an integer number (77714).

Almost surely, 23114540 is an apocalyptic number.

3114540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595408).

3114540 is an abundant number, since it is smaller than the sum of its proper divisors (8076276).

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

3114540 is a wasteful number, since it uses less digits than its factorization.

3114540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3114540 is about 1764.8059383400. The cubic root of 3114540 is about 146.0375833688.

Adding to 3114540 its reverse (454113), we get a palindrome (3568653).

It can be divided in two parts, 311 and 4540, that added together give a triangular number (4851 = T98).

The spelling of 3114540 in words is "three million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 121 130 132 143 156 165 180 195 198 220 234 242 260 286 330 363 390 396 429 468 484 495 572 585 605 660 715 726 780 858 990 1089 1170 1210 1287 1331 1430 1452 1573 1716 1815 1980 2145 2178 2340 2420 2574 2662 2860 3146 3630 3993 4290 4356 4719 5148 5324 5445 6292 6435 6655 7260 7865 7986 8580 9438 10890 11979 12870 13310 14157 15730 15972 17303 18876 19965 21780 23595 23958 25740 26620 28314 31460 34606 39930 47190 47916 51909 56628 59895 69212 70785 79860 86515 94380 103818 119790 141570 155727 173030 207636 239580 259545 283140 311454 346060 519090 622908 778635 1038180 1557270 3114540