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328010496 = 2831141947
BaseRepresentation
bin10011100011010…
…000101100000000
3211212012122210220
4103203100230000
51132432313441
652314223040
711062020552
oct2343205400
9755178726
10328010496
11159176160
1291a24a80
1352c57368
14317c54d2
151dbe3466
hex138d0b00

328010496 has 144 divisors (see below), whose sum is σ = 976606848. Its totient is φ = 96870400.

The previous prime is 328010489. The next prime is 328010549. The reversal of 328010496 is 694010823.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345895 + ... + 346841.

It is an arithmetic number, because the mean of its divisors is an integer number (6781992).

Almost surely, 2328010496 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 328010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488303424).

328010496 is an abundant number, since it is smaller than the sum of its proper divisors (648596352).

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

328010496 is a wasteful number, since it uses less digits than its factorization.

328010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 328010496 is about 18111.0600462811. The cubic root of 328010496 is about 689.6508041949.

The spelling of 328010496 in words is "three hundred twenty-eight million, ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 528 656 704 768 902 947 984 1056 1312 1353 1408 1804 1894 1968 2112 2624 2706 2816 2841 3608 3788 3936 4224 5248 5412 5682 7216 7576 7872 8448 10417 10496 10824 11364 14432 15152 15744 20834 21648 22728 28864 30304 31251 31488 38827 41668 43296 45456 57728 60608 62502 77654 83336 86592 90912 115456 116481 121216 125004 155308 166672 173184 181824 232962 242432 250008 310616 333344 346368 363648 427097 465924 500016 621232 666688 727296 854194 931848 1000032 1242464 1281291 1333376 1708388 1863696 2000064 2484928 2562582 2666752 3416776 3727392 4000128 4969856 5125164 6833552 7454784 8000256 9939712 10250328 13667104 14909568 20500656 27334208 29819136 41001312 54668416 82002624 109336832 164005248 328010496