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328671424 = 2619318719
BaseRepresentation
bin10011100101110…
…010000011000000
3211220110020102201
4103211302003000
51133114441144
652340322544
711100442504
oct2345620300
9756406381
10328671424
11159587784
12920a3454
1353129143
1431918304
151dcc41d4
hex139720c0

328671424 has 56 divisors (see below), whose sum is σ = 708761600. Its totient is φ = 150647040.

The previous prime is 328671419. The next prime is 328671479. The reversal of 328671424 is 424176823.

328671424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33337 + ... + 42055.

Almost surely, 2328671424 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 328671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354380800).

328671424 is an abundant number, since it is smaller than the sum of its proper divisors (380090176).

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

328671424 is a wasteful number, since it uses less digits than its factorization.

328671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8771 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 328671424 is about 18129.2973939974. The cubic root of 328671424 is about 690.1136996698.

The spelling of 328671424 in words is "three hundred twenty-eight million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1984 2356 4712 8719 9424 17438 18848 34876 37696 69752 139504 165661 270289 279008 331322 540578 558016 662644 1081156 1325288 2162312 2650576 4324624 5135491 5301152 8649248 10270982 10602304 17298496 20541964 41083928 82167856 164335712 328671424