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329980504 = 23723722751
BaseRepresentation
bin10011101010110…
…001101001011000
3211222220202011011
4103222301221120
51133433334004
652424343304
711114534200
oct2352615130
9758822134
10329980504
1115a2a1267
1292614b34
1353496c49
1431b79400
151de82004
hex13ab1a58

329980504 has 48 divisors (see below), whose sum is σ = 739212480. Its totient is φ = 137592000.

The previous prime is 329980481. The next prime is 329980507. The reversal of 329980504 is 405089923.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329980507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129 + ... + 25879.

It is an arithmetic number, because the mean of its divisors is an integer number (15400260).

Almost surely, 2329980504 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 329980504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369606240).

329980504 is an abundant number, since it is smaller than the sum of its proper divisors (409231976).

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

329980504 is a wasteful number, since it uses less digits than its factorization.

329980504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22808 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 329980504 is about 18165.3655069200. The cubic root of 329980504 is about 691.0287140855.

The spelling of 329980504 in words is "three hundred twenty-nine million, nine hundred eighty thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 14504 22751 45502 91004 159257 182008 318514 637028 841787 1114799 1274056 1683574 2229598 3367148 4459196 5892509 6734296 8918392 11785018 23570036 41247563 47140072 82495126 164990252 329980504