Search a number
-
+
1349509314 = 231923895783
BaseRepresentation
bin101000001101111…
…1110000011000010
310111001100011202110
41100123332003002
510230433244224
6341524400150
745304432326
oct12033760302
93431304673
101349509314
1163284335a
12317b46056
13186780c2a
14cb32b986
157d71e929
hex506fe0c2

1349509314 has 64 divisors (see below), whose sum is σ = 2998425600. Its totient is φ = 402982272.

The previous prime is 1349509303. The next prime is 1349509319. The reversal of 1349509314 is 4139059431.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1349509319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230467 + ... + 236249.

It is an arithmetic number, because the mean of its divisors is an integer number (46850400).

Almost surely, 21349509314 is an apocalyptic number.

1349509314 is an abundant number, since it is smaller than the sum of its proper divisors (1648916286).

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

1349509314 is a wasteful number, since it uses less digits than its factorization.

1349509314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1349509314 is about 36735.6681441892. The cubic root of 1349509314 is about 1105.0755294632.

The spelling of 1349509314 in words is "one billion, three hundred forty-nine million, five hundred nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 23 38 46 57 69 89 114 138 178 267 437 534 874 1311 1691 2047 2622 3382 4094 5073 5783 6141 10146 11566 12282 17349 34698 38893 77786 109877 116679 133009 219754 233358 266018 329631 399027 514687 659262 798054 1029374 1544061 2527171 3088122 5054342 7581513 9779053 11837801 15163026 19558106 23675602 29337159 35513403 58674318 71026806 224918219 449836438 674754657 1349509314