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1307407329 = 32191375937
BaseRepresentation
bin100110111101101…
…0111001111100001
310101010010011200200
41031323113033201
510134144013304
6333422135413
744253531114
oct11573271741
93333104620
101307407329
11610aa7528
12305a21569
1317ab2c707
14c58cc57b
1579ba4e39
hex4ded73e1

1307407329 has 12 divisors (see below), whose sum is σ = 1889489316. Its totient is φ = 871137792.

The previous prime is 1307407289. The next prime is 1307407333. The reversal of 1307407329 is 9237047031.

It can be written as a sum of positive squares in 2 ways, for example, as 1034265600 + 273141729 = 32160^2 + 16527^2 .

It is not a de Polignac number, because 1307407329 - 27 = 1307407201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1307407293 and 1307407302.

It is not an unprimeable number, because it can be changed into a prime (1307407349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20752 + ... + 55185.

It is an arithmetic number, because the mean of its divisors is an integer number (157457443).

Almost surely, 21307407329 is an apocalyptic number.

It is an amenable number.

1307407329 is a deficient number, since it is larger than the sum of its proper divisors (582081987).

1307407329 is a wasteful number, since it uses less digits than its factorization.

1307407329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77856 (or 77853 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1307407329 is about 36158.0880163761. The cubic root of 1307407329 is about 1093.4618574021.

The spelling of 1307407329 in words is "one billion, three hundred seven million, four hundred seven thousand, three hundred twenty-nine".

Divisors: 1 3 9 1913 5739 17217 75937 227811 683433 145267481 435802443 1307407329