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350318364 = 2231161139313
BaseRepresentation
bin10100111000010…
…110111100011100
3220102012000110020
4110320112330130
51204140141424
654432312140
711452441224
oct2470267434
9812160406
10350318364
1116a822410
12993a2650
1357768096
1434751084
1520b4d079
hex14e16f1c

350318364 has 96 divisors (see below), whose sum is σ = 915774720. Its totient is φ = 103334400.

The previous prime is 350318363. The next prime is 350318369. The reversal of 350318364 is 463813053.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350318363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119072 + ... + 1119384.

It is an arithmetic number, because the mean of its divisors is an integer number (9539320).

Almost surely, 2350318364 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 350318364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457887360).

350318364 is an abundant number, since it is smaller than the sum of its proper divisors (565456356).

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

350318364 is a wasteful number, since it uses less digits than its factorization.

350318364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 350318364 is about 18716.7936356631. The cubic root of 350318364 is about 704.9434852338.

The spelling of 350318364 in words is "three hundred fifty million, three hundred eighteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 139 183 244 278 313 366 417 556 626 671 732 834 939 1252 1342 1529 1668 1878 2013 2684 3058 3443 3756 4026 4587 6116 6886 8052 8479 9174 10329 13772 16958 18348 19093 20658 25437 33916 38186 41316 43507 50874 57279 76372 87014 93269 101748 114558 130521 174028 186538 210023 229116 261042 279807 373076 420046 478577 522084 559614 630069 840092 957154 1119228 1260138 1435731 1914308 2520276 2653927 2871462 5307854 5742924 7961781 10615708 15923562 29193197 31847124 58386394 87579591 116772788 175159182 350318364