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329534088 = 233136131723
BaseRepresentation
bin10011101001000…
…100101010001000
3211222002001210020
4103221010222020
51133330042323
652411020440
711110664532
oct2351045210
9758061706
10329534088
1115a016924
129243a720
135336b9b0
1431aa0852
151dde4ae3
hex13a44a88

329534088 has 64 divisors (see below), whose sum is σ = 889170240. Its totient is φ = 101170944.

The previous prime is 329534083. The next prime is 329534089. The reversal of 329534088 is 880435923.

It is not an unprimeable number, because it can be changed into a prime (329534083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190395 + ... + 192117.

It is an arithmetic number, because the mean of its divisors is an integer number (13893285).

Almost surely, 2329534088 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 329534088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444585120).

329534088 is an abundant number, since it is smaller than the sum of its proper divisors (559636152).

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

329534088 is a wasteful number, since it uses less digits than its factorization.

329534088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

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

The square root of 329534088 is about 18153.0737893063. The cubic root of 329534088 is about 690.7169527463.

The spelling of 329534088 in words is "three hundred twenty-nine million, five hundred thirty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 613 1226 1723 1839 2452 3446 3678 4904 5169 6892 7356 7969 10338 13784 14712 15938 20676 22399 23907 31876 41352 44798 47814 63752 67197 89596 95628 134394 179192 191256 268788 537576 1056199 2112398 3168597 4224796 6337194 8449592 12674388 13730587 25348776 27461174 41191761 54922348 82383522 109844696 164767044 329534088