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1328078448 = 24329222767
BaseRepresentation
bin100111100101000…
…1101111001110000
310102120000101010200
41033022031321300
510204442002243
6335441155200
744624323554
oct11712157160
93376011120
101328078448
11621735aa4
1231092bb00
131821b9448
14c854d864
157b8d9ad3
hex4f28de70

1328078448 has 30 divisors (see below), whose sum is σ = 3716775504. Its totient is φ = 442692768.

The previous prime is 1328078441. The next prime is 1328078449. The reversal of 1328078448 is 8448708231.

1328078448 is a `hidden beast` number, since 132 + 8 + 0 + 78 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328078441) 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, 4611240 + ... + 4611527.

Almost surely, 21328078448 is an apocalyptic number.

1328078448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1328078448 is an abundant number, since it is smaller than the sum of its proper divisors (2388697056).

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

1328078448 is a wasteful number, since it uses less digits than its factorization.

1328078448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222781 (or 9222772 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 1328078448 is about 36442.8106490155. The cubic root of 1328078448 is about 1099.1945751466.

The spelling of 1328078448 in words is "one billion, three hundred twenty-eight million, seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9222767 18445534 27668301 36891068 55336602 73782136 83004903 110673204 147564272 166009806 221346408 332019612 442692816 664039224 1328078448