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343324416 = 2834091093
BaseRepresentation
bin10100011101101…
…011011100000000
3212221000200120010
4110131223130000
51200342340131
654022344520
711336131551
oct2435533400
9787020503
10343324416
11166885796
1296b8b140
1356189856
1433850328
152021ab46
hex1476b700

343324416 has 72 divisors (see below), whose sum is σ = 916815760. Its totient is φ = 114057216.

The previous prime is 343324403. The next prime is 343324439. The reversal of 343324416 is 614423343.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 313566 + ... + 314658.

Almost surely, 2343324416 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 343324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458407880).

343324416 is an abundant number, since it is smaller than the sum of its proper divisors (573491344).

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

343324416 is a wasteful number, since it uses less digits than its factorization.

343324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1507 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 343324416 is about 18529.0155162113. The cubic root of 343324416 is about 700.2206216150.

Adding to 343324416 its reverse (614423343), we get a palindrome (957747759).

The spelling of 343324416 in words is "three hundred forty-three million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 768 818 1093 1227 1636 2186 2454 3272 3279 4372 4908 6544 6558 8744 9816 13088 13116 17488 19632 26176 26232 34976 39264 52352 52464 69952 78528 104704 104928 139904 157056 209856 279808 314112 419712 447037 839424 894074 1341111 1788148 2682222 3576296 5364444 7152592 10728888 14305184 21457776 28610368 42915552 57220736 85831104 114441472 171662208 343324416