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328707072 = 210351321
BaseRepresentation
bin10011100101111…
…010110000000000
3211220112001100000
4103211322300000
51133122111242
652341200000
711100651441
oct2345726000
9756461300
10328707072
11159601541
1292100000
135313c435
14319272c8
151dccea4c
hex1397ac00

328707072 has 132 divisors (see below), whose sum is σ = 985032776. Its totient is φ = 109486080.

The previous prime is 328707059. The next prime is 328707073. The reversal of 328707072 is 270707823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (328707073) 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, 248172 + ... + 249492.

Almost surely, 2328707072 is an apocalyptic number.

328707072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492516388).

328707072 is an abundant number, since it is smaller than the sum of its proper divisors (656325704).

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

328707072 is an equidigital number, since it uses as much as digits as its factorization.

328707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 328707072 is about 18130.2805273388. The cubic root of 328707072 is about 690.1386488866.

The spelling of 328707072 in words is "three hundred twenty-eight million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1321 1536 1728 1944 2304 2592 2642 3072 3456 3888 3963 4608 5184 5284 6912 7776 7926 9216 10368 10568 11889 13824 15552 15852 20736 21136 23778 27648 31104 31704 35667 41472 42272 47556 62208 63408 71334 82944 84544 95112 107001 124416 126816 142668 169088 190224 214002 248832 253632 285336 321003 338176 380448 428004 507264 570672 642006 676352 760896 856008 1014528 1141344 1284012 1352704 1521792 1712016 2029056 2282688 2568024 3043584 3424032 4058112 4565376 5136048 6087168 6848064 9130752 10272096 12174336 13696128 18261504 20544192 27392256 36523008 41088384 54784512 82176768 109569024 164353536 328707072