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1349383971 = 3131913113901
BaseRepresentation
bin101000001101101…
…1111011100100011
310111001002210211010
41100123133130203
510230420241341
6341521552003
745303401025
oct12033373443
93431083733
101349383971
11632768171
12317aa5603
13186738b70
14cb2d8015
157d6e7716
hex506df723

1349383971 has 32 divisors (see below), whose sum is σ = 2055271680. Its totient is φ = 780624000.

The previous prime is 1349383967. The next prime is 1349383991. The reversal of 1349383971 is 1793839431.

It is a happy number.

It is not a de Polignac number, because 1349383971 - 22 = 1349383967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1349383971.

It is not an unprimeable number, because it can be changed into a prime (1349383901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90121 + ... + 104021.

It is an arithmetic number, because the mean of its divisors is an integer number (64227240).

Almost surely, 21349383971 is an apocalyptic number.

1349383971 is a deficient number, since it is larger than the sum of its proper divisors (705887709).

1349383971 is a wasteful number, since it uses less digits than its factorization.

1349383971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14067.

The product of its digits is 489888, while the sum is 48.

The square root of 1349383971 is about 36733.9620923200. The cubic root of 1349383971 is about 1105.0413151086.

The spelling of 1349383971 in words is "one billion, three hundred forty-nine million, three hundred eighty-three thousand, nine hundred seventy-one".

Divisors: 1 3 13 19 39 57 131 247 393 741 1703 2489 5109 7467 13901 32357 41703 97071 180713 264119 542139 792357 1821031 3433547 5463093 10300641 23673403 34599589 71020209 103798767 449794657 1349383971