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1304328064 = 27135471433
BaseRepresentation
bin100110110111110…
…0111011110000000
310100220022201201211
41031233213132000
510132401444224
6333232135504
744215414504
oct11557473600
93326281654
101304328064
1160a293a86
12304997594
1317a2c1c70
14c532a304
1579797894
hex4dbe7780

1304328064 has 64 divisors (see below), whose sum is σ = 2805420240. Its totient is φ = 600477696.

The previous prime is 1304328059. The next prime is 1304328083. The reversal of 1304328064 is 4608234031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909492 + ... + 910924.

Almost surely, 21304328064 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 1304328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402710120).

1304328064 is an abundant number, since it is smaller than the sum of its proper divisors (1501092176).

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

1304328064 is a wasteful number, since it uses less digits than its factorization.

1304328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1304328064 is about 36115.4823309893. The cubic root of 1304328064 is about 1092.6027255839.

The spelling of 1304328064 in words is "one billion, three hundred four million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 547 832 1094 1433 1664 2188 2866 4376 5732 7111 8752 11464 14222 17504 18629 22928 28444 35008 37258 45856 56888 70016 74516 91712 113776 149032 183424 227552 298064 455104 596128 783851 910208 1192256 1567702 2384512 3135404 6270808 10190063 12541616 20380126 25083232 40760252 50166464 81520504 100332928 163041008 326082016 652164032 1304328064