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1304148769 = 74112672
BaseRepresentation
bin100110110111011…
…1011101100100001
310100212222121210021
41031232323230201
510132330230034
6333224233441
744214040000
oct11556735441
93325877707
101304148769
1160a181300
1230490b881
1317a25b481
14c52c0c37
157975e6b4
hex4dbbbb21

1304148769 has 45 divisors (see below), whose sum is σ = 1697632881. Its totient is φ = 1001052360.

The previous prime is 1304148767. The next prime is 1304148877. The reversal of 1304148769 is 9678414031.

The square root of 1304148769 is 36113.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1304148769 - 21 = 1304148767 is a prime.

It is a super-2 number, since 2×13041487692 = 3401608023368430722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1304148767) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19464874 + ... + 19464940.

Almost surely, 21304148769 is an apocalyptic number.

1304148769 is the 36113-rd square number.

1304148769 is the 18057-th centered octagonal number.

It is an amenable number.

1304148769 is a deficient number, since it is larger than the sum of its proper divisors (393484112).

1304148769 is an frugal number, since it uses more digits than its factorization.

1304148769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 1304148769 is about 1092.5526596564.

The spelling of 1304148769 in words is "one billion, three hundred four million, one hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 11 49 67 77 121 343 469 539 737 847 2401 3283 3773 4489 5159 5929 8107 22981 26411 31423 36113 41503 49379 56749 160867 219961 252791 290521 345653 397243 543169 1539727 1769537 2419571 2780701 3802183 10778089 16936997 19464907 26615281 118558979 186306967 1304148769