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351441012 = 2231323412389
BaseRepresentation
bin10100111100101…
…001000001110100
3220111022001102210
4110330221001310
51204432103022
654512333420
711465125236
oct2474510164
9814261383
10351441012
1117041991a
1299844270
1357a6c080
1434964256
1520cc0a0c
hex14f29074

351441012 has 96 divisors (see below), whose sum is σ = 944375040. Its totient is φ = 100869120.

The previous prime is 351441001. The next prime is 351441019. The reversal of 351441012 is 210144153.

351441012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 351441012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351441019) 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 31 ways as a sum of consecutive naturals, for example, 145914 + ... + 148302.

It is an arithmetic number, because the mean of its divisors is an integer number (9837240).

Almost surely, 2351441012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472187520).

351441012 is an abundant number, since it is smaller than the sum of its proper divisors (592934028).

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

351441012 is a wasteful number, since it uses less digits than its factorization.

351441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 351441012 is about 18746.7600400709. The cubic root of 351441012 is about 705.6957148117.

Adding to 351441012 its reverse (210144153), we get a palindrome (561585165).

The spelling of 351441012 in words is "three hundred fifty-one million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 41 46 52 69 78 82 92 123 138 156 164 246 276 299 492 533 598 897 943 1066 1196 1599 1794 1886 2132 2389 2829 3198 3588 3772 4778 5658 6396 7167 9556 11316 12259 14334 24518 28668 31057 36777 49036 54947 62114 73554 93171 97949 109894 124228 147108 164841 186342 195898 219788 293847 329682 372684 391796 587694 659364 714311 1175388 1273337 1428622 2142933 2252827 2546674 2857244 3820011 4285866 4505654 5093348 6758481 7640022 8571732 9011308 13516962 15280044 27033924 29286751 58573502 87860253 117147004 175720506 351441012