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328224672 = 25321139669
BaseRepresentation
bin10011100100000…
…100111110100000
3211212121112121100
4103210010332200
51133011142142
652322554400
711063602146
oct2344047640
9755545540
10328224672
11159302066
1291b08a00
13530009a9
143183d596
151dc36b4c
hex13904fa0

328224672 has 36 divisors (see below), whose sum is σ = 933389730. Its totient is φ = 109408128.

The previous prime is 328224667. The next prime is 328224679. The reversal of 328224672 is 276422823.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 297355536 + 30869136 = 17244^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (328224679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569547 + ... + 570122.

Almost surely, 2328224672 is an apocalyptic number.

328224672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

328224672 is an abundant number, since it is smaller than the sum of its proper divisors (605165058).

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

328224672 is a wasteful number, since it uses less digits than its factorization.

328224672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139685 (or 1139674 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 328224672 is about 18116.9719324174. The cubic root of 328224672 is about 689.8008751179.

The spelling of 328224672 in words is "three hundred twenty-eight million, two hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1139669 2279338 3419007 4558676 6838014 9117352 10257021 13676028 18234704 20514042 27352056 36469408 41028084 54704112 82056168 109408224 164112336 328224672