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349330320 = 24345313747
BaseRepresentation
bin10100110100100…
…101101110010000
3220100022211010000
4110310211232100
51203412032240
654355210000
711441154513
oct2464455620
9810284100
10349330320
1116a208049
1298ba6900
13574b0441
1434574d7a
1520a05430
hex14d25b90

349330320 has 400 divisors, whose sum is σ = 1313630208. Its totient is φ = 85847040.

The previous prime is 349330313. The next prime is 349330339. The reversal of 349330320 is 23033943.

349330320 is a `hidden beast` number, since 3 + 4 + 9 + 330 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 7432537 + ... + 7432583.

Almost surely, 2349330320 is an apocalyptic number.

349330320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656815104).

349330320 is an abundant number, since it is smaller than the sum of its proper divisors (964299888).

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

349330320 is a wasteful number, since it uses less digits than its factorization.

349330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 349330320 is about 18690.3804134640. The cubic root of 349330320 is about 704.2801162323.

The spelling of 349330320 in words is "three hundred forty-nine million, three hundred thirty thousand, three hundred twenty".