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328379968 = 26742137
BaseRepresentation
bin10011100100101…
…010111001000000
3211212220102122001
4103210222321000
51133031124333
652330153344
711065120000
oct2344527100
9755812561
10328379968
111593a8804
1291b82854
1353056597
1431880000
151dc67b7d
hex1392ae40

328379968 has 70 divisors (see below), whose sum is σ = 760544326. Its totient is φ = 140668416.

The previous prime is 328379957. The next prime is 328379969. The reversal of 328379968 is 869973823.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 129231424 = 14112^2 + 11368^2 .

It is not an unprimeable number, because it can be changed into a prime (328379969) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 152596 + ... + 154732.

Almost surely, 2328379968 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 328379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380272163).

328379968 is an abundant number, since it is smaller than the sum of its proper divisors (432164358).

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

328379968 is an frugal number, since it uses more digits than its factorization.

328379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2146 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The square root of 328379968 is about 18121.2573515195. The cubic root of 328379968 is about 689.9096486050.

The spelling of 328379968 in words is "three hundred twenty-eight million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2137 2401 2744 3136 4274 4802 5488 8548 9604 10976 14959 17096 19208 21952 29918 34192 38416 59836 68384 76832 104713 119672 136768 153664 209426 239344 418852 478688 732991 837704 957376 1465982 1675408 2931964 3350816 5130937 5863928 6701632 10261874 11727856 20523748 23455712 41047496 46911424 82094992 164189984 328379968