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329538048 = 293730649
BaseRepresentation
bin10011101001000…
…101101000000000
3211222002021012220
4103221011220000
51133330204143
652411051040
711111012220
oct2351055000
9758067186
10329538048
1115a0198a4
1292440a80
1353370738
1431aa2080
151dde5d83
hex13a45a00

329538048 has 80 divisors (see below), whose sum is σ = 1003358400. Its totient is φ = 94150656.

The previous prime is 329538031. The next prime is 329538101. The reversal of 329538048 is 840835923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4573 + ... + 26076.

It is an arithmetic number, because the mean of its divisors is an integer number (12541980).

Almost surely, 2329538048 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 329538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501679200).

329538048 is an abundant number, since it is smaller than the sum of its proper divisors (673820352).

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

329538048 is an equidigital number, since it uses as much as digits as its factorization.

329538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30677 (or 30661 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 329538048 is about 18153.1828614158. The cubic root of 329538048 is about 690.7197195093.

The spelling of 329538048 in words is "three hundred twenty-nine million, five hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 30649 61298 91947 122596 183894 214543 245192 367788 429086 490384 643629 735576 858172 980768 1287258 1471152 1716344 1961536 2574516 2942304 3432688 3923072 5149032 5884608 6865376 7846144 10298064 11769216 13730752 15692288 20596128 23538432 27461504 41192256 47076864 54923008 82384512 109846016 164769024 329538048