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1313433340 = 2251032812269
BaseRepresentation
bin100111001001001…
…0110011011111100
310101112110022211021
41032102112123330
510142214331330
6334155233524
744355666502
oct11622263374
93345408737
101313433340
116144429aa
12307a488a4
1317c15c4bb
14c661a672
157a49567a
hex4e4966fc

1313433340 has 48 divisors (see below), whose sum is σ = 2796131520. Its totient is φ = 518192640.

The previous prime is 1313433313. The next prime is 1313433353. The reversal of 1313433340 is 433343131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 577726 + ... + 579994.

It is an arithmetic number, because the mean of its divisors is an integer number (58252740).

Almost surely, 21313433340 is an apocalyptic number.

1313433340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313433340 is an abundant number, since it is smaller than the sum of its proper divisors (1482698180).

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

1313433340 is a wasteful number, since it uses less digits than its factorization.

1313433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 1313433340 is about 36241.3208920426. The cubic root of 1313433340 is about 1095.1392523918.

Adding to 1313433340 its reverse (433343131), we get a palindrome (1746776471).

The spelling of 1313433340 in words is "one billion, three hundred thirteen million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 103 206 281 412 515 562 1030 1124 1405 2060 2269 2810 4538 5620 9076 11345 22690 28943 45380 57886 115772 144715 233707 289430 467414 578860 637589 934828 1168535 1275178 2337070 2550356 3187945 4674140 6375890 12751780 65671667 131343334 262686668 328358335 656716670 1313433340