Search a number
-
+
331003134 = 2327211109313
BaseRepresentation
bin10011101110101…
…011010011111110
3212001211200221100
4103232223103332
51134214100014
652502313530
711126323500
oct2356532376
9761750840
10331003134
1115a92a610
1292a288a6
1353764557
1431d63d70
151e0d5009
hex13bab4fe

331003134 has 144 divisors (see below), whose sum is σ = 921389040. Its totient is φ = 84913920.

The previous prime is 331003111. The next prime is 331003163. The reversal of 331003134 is 431300133.

331003134 is digitally balanced in base 3, 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 a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1057362 + ... + 1057674.

It is an arithmetic number, because the mean of its divisors is an integer number (6398535).

Almost surely, 2331003134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331003134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460694520).

331003134 is an abundant number, since it is smaller than the sum of its proper divisors (590385906).

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

331003134 is a wasteful number, since it uses less digits than its factorization.

331003134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331003134 is about 18193.4915285659. The cubic root of 331003134 is about 691.7418248484.

Adding to 331003134 its reverse (431300133), we get a palindrome (762303267).

The spelling of 331003134 in words is "three hundred thirty-one million, three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 109 126 147 154 198 218 231 294 313 327 441 462 539 626 654 693 763 882 939 981 1078 1199 1386 1526 1617 1878 1962 2191 2289 2398 2817 3234 3443 3597 4382 4578 4851 5341 5634 6573 6867 6886 7194 8393 9702 10329 10682 10791 13146 13734 15337 16023 16786 19719 20658 21582 24101 25179 30674 30987 32046 34117 39438 46011 48069 48202 50358 58751 61974 68234 72303 75537 92022 96138 102351 117502 138033 144606 151074 168707 176253 204702 216909 238819 276066 307053 337414 352506 375287 433818 477638 506121 528759 614106 716457 750574 1012242 1057518 1125861 1432914 1518363 1671733 2149371 2251722 2627009 3036726 3343466 3377583 4298742 5015199 5254018 6755166 7881027 10030398 15045597 15762054 18389063 23643081 30091194 36778126 47286162 55167189 110334378 165501567 331003134