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329994504 = 233273121121
BaseRepresentation
bin10011101010110…
…101000100001000
3211222221110100200
4103222311010020
51133434311004
652424532200
711114623050
oct2352650410
9758843320
10329994504
1115a300834
1292621060
13534a0428
1431b80560
151de86239
hex13ab5108

329994504 has 96 divisors (see below), whose sum is σ = 1054410240. Its totient is φ = 91238400.

The previous prime is 329994499. The next prime is 329994517. The reversal of 329994504 is 405499923.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 329994504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5064 + ... + 26184.

It is an arithmetic number, because the mean of its divisors is an integer number (10983440).

Almost surely, 2329994504 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 329994504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527205120).

329994504 is an abundant number, since it is smaller than the sum of its proper divisors (724415736).

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

329994504 is a wasteful number, since it uses less digits than its factorization.

329994504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21171 (or 21164 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 329994504 is about 18165.7508515338. The cubic root of 329994504 is about 691.0384866479.

The spelling of 329994504 in words is "three hundred twenty-nine million, nine hundred ninety-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 21121 42242 63363 84484 126726 147847 168968 190089 253452 295694 380178 443541 506904 591388 654751 760356 887082 1182776 1309502 1330623 1520712 1774164 1964253 2619004 2661246 3548328 3928506 4583257 5238008 5322492 5892759 7857012 9166514 10644984 11785518 13749771 15714024 18333028 23571036 27499542 36666056 41249313 47142072 54999084 82498626 109998168 164997252 329994504