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1304503728 = 243114357457
BaseRepresentation
bin100110111000001…
…0010010110110000
310100220122122200220
41031300102112300
510132423104403
6333240013040
744220045603
oct11560222660
93326578626
101304503728
1160a3a3a60
12304a61180
1317a353bc8
14c537433a
15797ce953
hex4dc125b0

1304503728 has 80 divisors (see below), whose sum is σ = 3761890176. Its totient is φ = 386104320.

The previous prime is 1304503703. The next prime is 1304503799. The reversal of 1304503728 is 8273054031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6025 + ... + 51432.

Almost surely, 21304503728 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 1304503728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880945088).

1304503728 is an abundant number, since it is smaller than the sum of its proper divisors (2457386448).

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

1304503728 is a wasteful number, since it uses less digits than its factorization.

1304503728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57522 (or 57516 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1304503728 is about 36117.9142254920. The cubic root of 1304503728 is about 1092.6517731496.

Adding to 1304503728 its reverse (8273054031), we get a palindrome (9577557759).

The spelling of 1304503728 in words is "one billion, three hundred four million, five hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 57457 114914 172371 229828 344742 459656 632027 689484 919312 1264054 1378968 1896081 2470651 2528108 2757936 3792162 4941302 5056216 7411953 7584324 9882604 10112432 14823906 15168648 19765208 27177161 29647812 30337296 39530416 54354322 59295624 81531483 108708644 118591248 163062966 217417288 326125932 434834576 652251864 1304503728