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329448940 = 225413831049
BaseRepresentation
bin10011101000101…
…111110111101100
3211221220201222121
4103220233313230
51133314331230
652405122324
711110161352
oct2350576754
9757821877
10329448940
11159a68957
12923b93a4
135333c002
1431a7b7d2
151ddc977a
hex13a2fdec

329448940 has 48 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 128107520.

The previous prime is 329448937. The next prime is 329448947. The reversal of 329448940 is 49844923.

It is not an unprimeable number, because it can be changed into a prime (329448947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313536 + ... + 314584.

It is an arithmetic number, because the mean of its divisors is an integer number (14817600).

Almost surely, 2329448940 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 329448940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

329448940 is an abundant number, since it is smaller than the sum of its proper divisors (381795860).

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

329448940 is a wasteful number, since it uses less digits than its factorization.

329448940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 329448940 is about 18150.7283600411. The cubic root of 329448940 is about 690.6574563891.

The spelling of 329448940 in words is "three hundred twenty-nine million, four hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 383 410 766 820 1049 1532 1915 2098 3830 4196 5245 7660 10490 15703 20980 31406 43009 62812 78515 86018 157030 172036 215045 314060 401767 430090 803534 860180 1607068 2008835 4017670 8035340 16472447 32944894 65889788 82362235 164724470 329448940