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330234424 = 23136783571
BaseRepresentation
bin10011101011101…
…111101000111000
3212000101122110121
4103223233220320
51134020000144
652434023024
711116642402
oct2353575070
9760348417
10330234424
1115a455013
1292717a74
13535556b0
1431c03b72
151ded2384
hex13aefa38

330234424 has 64 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 148072320.

The previous prime is 330234409. The next prime is 330234439. The reversal of 330234424 is 424432033.

It is an interprime number because it is at equal distance from previous prime (330234409) and next prime (330234439).

It is a super-2 number, since 2×3302344242 = 218109549589223552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578059 + ... + 578629.

It is an arithmetic number, because the mean of its divisors is an integer number (10720710).

Almost surely, 2330234424 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 330234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062720).

330234424 is an abundant number, since it is smaller than the sum of its proper divisors (355891016).

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

330234424 is a wasteful number, since it uses less digits than its factorization.

330234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 330234424 is about 18172.3532873428. The cubic root of 330234424 is about 691.2059175073.

Adding to 330234424 its reverse (424432033), we get a palindrome (754666457).

The spelling of 330234424 in words is "three hundred thirty million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 67 83 104 134 166 268 332 536 571 664 871 1079 1142 1742 2158 2284 3484 4316 4568 5561 6968 7423 8632 11122 14846 22244 29692 38257 44488 47393 59384 72293 76514 94786 144586 153028 189572 289172 306056 379144 497341 578344 616109 994682 1232218 1989364 2464436 3175331 3978728 4928872 6350662 12701324 25402648 41279303 82558606 165117212 330234424