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1348129377 = 327971671321
BaseRepresentation
bin101000001011010…
…1101001001100001
310110221202001211200
41100112231021201
510230110120002
6341435031413
745256624230
oct12026551141
93427661750
101348129377
11631a90611
1231759b569
131863b9aba
14cb08cb17
157d54ab1c
hex505ad261

1348129377 has 48 divisors (see below), whose sum is σ = 2263602432. Its totient is φ = 757278720.

The previous prime is 1348129357. The next prime is 1348129381. The reversal of 1348129377 is 7739218431.

1348129377 is a `hidden beast` number, since 13 + 481 + 2 + 93 + 77 = 666.

It is not a de Polignac number, because 1348129377 - 211 = 1348127329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1348129357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1019877 + ... + 1021197.

It is an arithmetic number, because the mean of its divisors is an integer number (47158384).

Almost surely, 21348129377 is an apocalyptic number.

It is an amenable number.

1348129377 is a deficient number, since it is larger than the sum of its proper divisors (915473055).

1348129377 is a wasteful number, since it uses less digits than its factorization.

1348129377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1595 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1348129377 is about 36716.8813626648. The cubic root of 1348129377 is about 1104.6987370338.

The spelling of 1348129377 in words is "one billion, three hundred forty-eight million, one hundred twenty-nine thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 63 97 167 291 501 679 873 1169 1321 1503 2037 3507 3963 6111 9247 10521 11889 16199 27741 48597 83223 113393 128137 145791 220607 340179 384411 661821 896959 1020537 1153233 1544249 1985463 2690877 4632747 8072631 13898241 21398879 64196637 149792153 192589911 449376459 1348129377