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1304504032 = 25136151407
BaseRepresentation
bin100110111000001…
…0010011011100000
310100220122200010011
41031300102123200
510132423112112
6333240014304
744220046516
oct11560223340
93326580104
101304504032
1160a3a4207
12304a61394
1317a3540a0
14c53744b6
15797ceaa7
hex4dc126e0

1304504032 has 48 divisors (see below), whose sum is σ = 2811195072. Its totient is φ = 592197120.

The previous prime is 1304504023. The next prime is 1304504053. The reversal of 1304504032 is 2304054031.

It is a junction number, because it is equal to n+sod(n) for n = 1304503994 and 1304504012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 328 + ... + 51079.

It is an arithmetic number, because the mean of its divisors is an integer number (58566564).

Almost surely, 21304504032 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 1304504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405597536).

1304504032 is an abundant number, since it is smaller than the sum of its proper divisors (1506691040).

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

1304504032 is a wasteful number, since it uses less digits than its factorization.

1304504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51491 (or 51483 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1304504032 is about 36117.9184339297. The cubic root of 1304504032 is about 1092.6518580264.

Adding to 1304504032 its reverse (2304054031), we get a palindrome (3608558063).

The spelling of 1304504032 in words is "one billion, three hundred four million, five hundred four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 51407 102814 205628 411256 668291 822512 1336582 1645024 2673164 3135827 5346328 6271654 10692656 12543308 21385312 25086616 40765751 50173232 81531502 100346464 163063004 326126008 652252016 1304504032