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343342336 = 281778893
BaseRepresentation
bin10100011101101…
…111110100000000
3212221001121010211
4110131233310000
51200343423321
654023003504
711336235031
oct2435576400
9787047124
10343342336
111668981a7
1296b99594
1356194a5c
1433856a88
15202210e1
hex1476fd00

343342336 has 36 divisors (see below), whose sum is σ = 725667012. Its totient is φ = 161570816.

The previous prime is 343342333. The next prime is 343342399. The reversal of 343342336 is 633243343.

It can be written as a sum of positive squares in 2 ways, for example, as 202777600 + 140564736 = 14240^2 + 11856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 343342298 and 343342307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343342333) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35095 + ... + 43798.

It is an arithmetic number, because the mean of its divisors is an integer number (20157417).

Almost surely, 2343342336 is an apocalyptic number.

It is an amenable number.

343342336 is an abundant number, since it is smaller than the sum of its proper divisors (382324676).

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

343342336 is an equidigital number, since it uses as much as digits as its factorization.

343342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78926 (or 78912 counting only the distinct ones).

The product of its digits is 46656, while the sum is 31.

The square root of 343342336 is about 18529.4990757980. The cubic root of 343342336 is about 700.2328041986.

Adding to 343342336 its reverse (633243343), we get a palindrome (976585679).

The spelling of 343342336 in words is "three hundred forty-three million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 78893 157786 315572 631144 1262288 1341181 2524576 2682362 5049152 5364724 10098304 10729448 20196608 21458896 42917792 85835584 171671168 343342336