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343223112 = 23323643967
BaseRepresentation
bin10100011101010…
…010101101001000
3212220211112121010
4110131102231020
51200331114422
654020243520
711335230321
oct2435225510
9786745533
10343223112
11166816671
1296b405a0
13561526cb
1433825448
15201eab0c
hex14752b48

343223112 has 64 divisors (see below), whose sum is σ = 897684480. Its totient is φ = 109150272.

The previous prime is 343223107. The next prime is 343223117. The reversal of 343223112 is 211322343.

It is an interprime number because it is at equal distance from previous prime (343223107) and next prime (343223117).

It is a super-2 number, since 2×3432231122 = 235604209221929088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (343223117) 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 15 ways as a sum of consecutive naturals, for example, 354453 + ... + 355419.

It is an arithmetic number, because the mean of its divisors is an integer number (14026320).

Almost surely, 2343223112 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 343223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448842240).

343223112 is an abundant number, since it is smaller than the sum of its proper divisors (554461368).

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

343223112 is a wasteful number, since it uses less digits than its factorization.

343223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 343223112 is about 18526.2816560690. The cubic root of 343223112 is about 700.1517439738.

Adding to 343223112 its reverse (211322343), we get a palindrome (554545455).

The spelling of 343223112 in words is "three hundred forty-three million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 643 967 1286 1929 1934 2572 2901 3858 3868 5144 5802 7716 7736 11604 14789 15432 22241 23208 29578 44367 44482 59156 66723 88734 88964 118312 133446 177468 177928 266892 354936 533784 621781 1243562 1865343 2487124 3730686 4974248 7461372 14300963 14922744 28601926 42902889 57203852 85805778 114407704 171611556 343223112