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344294712 = 23344112959
BaseRepresentation
bin10100100001011…
…000010100111000
3212222211222120000
4110201120110320
51201114412322
654055233000
711350312446
oct2441302470
9788758500
10344294712
11167388793
1297378760
13564393a8
1433a23b96
152035d3ac
hex14858538

344294712 has 80 divisors (see below), whose sum is σ = 987940800. Its totient is φ = 111957120.

The previous prime is 344294669. The next prime is 344294723. The reversal of 344294712 is 217492443.

It is a super-3 number, since 3×3442947123 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 20089 + ... + 33047.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2344294712 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 344294712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493970400).

344294712 is an abundant number, since it is smaller than the sum of its proper divisors (643646088).

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

344294712 is a wasteful number, since it uses less digits than its factorization.

344294712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13005 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 344294712 is about 18555.1801931428. The cubic root of 344294712 is about 700.8796505922.

The spelling of 344294712 in words is "three hundred forty-four million, two hundred ninety-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 12959 13284 25918 26568 38877 51836 77754 103672 116631 155508 233262 311016 349893 466524 531319 699786 933048 1049679 1062638 1399572 1593957 2099358 2125276 2799144 3187914 4198716 4250552 4781871 6375828 8397432 9563742 12751656 14345613 19127484 28691226 38254968 43036839 57382452 86073678 114764904 172147356 344294712