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328690944 = 2832331431
BaseRepresentation
bin10011100101110…
…110110100000000
3211220111020012200
4103211312310000
51133121102234
652340553200
711100553431
oct2345666400
9756436180
10328690944
111595a040a
12920b2800
1353134caa
1431921488
151dcc9d99
hex13976d00

328690944 has 108 divisors (see below), whose sum is σ = 952765632. Its totient is φ = 108979200.

The previous prime is 328690939. The next prime is 328690949. The reversal of 328690944 is 449096823.

328690944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328690939) and next prime (328690949).

It is a super-2 number, since 2×3286909442 = 216075473335222272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 328690944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328690949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762409 + ... + 762839.

It is an arithmetic number, because the mean of its divisors is an integer number (8821904).

Almost surely, 2328690944 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 328690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476382816).

328690944 is an abundant number, since it is smaller than the sum of its proper divisors (624074688).

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

328690944 is a wasteful number, since it uses less digits than its factorization.

328690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 328690944 is about 18129.8357411202. The cubic root of 328690944 is about 690.1273614931.

The spelling of 328690944 in words is "three hundred twenty-eight million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 331 384 431 576 662 768 862 993 1152 1293 1324 1724 1986 2304 2586 2648 2979 3448 3879 3972 5172 5296 5958 6896 7758 7944 10344 10592 11916 13792 15516 15888 20688 21184 23832 27584 31032 31776 41376 42368 47664 55168 62064 63552 82752 84736 95328 110336 124128 127104 142661 165504 190656 248256 254208 285322 331008 381312 427983 496512 570644 762624 855966 993024 1141288 1283949 1711932 2282576 2567898 3423864 4565152 5135796 6847728 9130304 10271592 13695456 18260608 20543184 27390912 36521216 41086368 54781824 82172736 109563648 164345472 328690944