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329342848 = 2743531129
BaseRepresentation
bin10011101000010…
…101111110000000
3211221201100110021
4103220111332000
51133302432343
652402543224
711106240142
oct2350257600
9757640407
10329342848
111599a617a
1292367b14
1353302933
1431a50c92
151dda80ed
hex13a15f80

329342848 has 64 divisors (see below), whose sum is σ = 684644400. Its totient is φ = 157667328.

The previous prime is 329342813. The next prime is 329342857. The reversal of 329342848 is 848243923.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3293428482 = 216933423057502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 291148 + ... + 292276.

Almost surely, 2329342848 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 329342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342322200).

329342848 is an abundant number, since it is smaller than the sum of its proper divisors (355301552).

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

329342848 is a wasteful number, since it uses less digits than its factorization.

329342848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 329342848 is about 18147.8055973718. The cubic root of 329342848 is about 690.5833112650.

The spelling of 329342848 in words is "three hundred twenty-nine million, three hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 344 424 688 848 1129 1376 1696 2258 2279 2752 3392 4516 4558 5504 6784 9032 9116 18064 18232 36128 36464 48547 59837 72256 72928 97094 119674 144512 145856 194188 239348 291712 388376 478696 776752 957392 1553504 1914784 2572991 3107008 3829568 5145982 6214016 7659136 10291964 20583928 41167856 82335712 164671424 329342848