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1343589072 = 24376176481
BaseRepresentation
bin101000000010101…
…1000101011010000
310110122012101201020
41100011120223100
510222424322242
6341153435440
745203214210
oct12005305320
93418171636
101343589072
1162a46a3a1
12315b6bb80
1318548a327
14ca62a240
157ce506ec
hex50158ad0

1343589072 has 80 divisors (see below), whose sum is σ = 3973828992. Its totient is φ = 383201280.

The previous prime is 1343589059. The next prime is 1343589089. The reversal of 1343589072 is 2709853431.

It is a super-4 number, since 4×13435890724 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204072 + ... + 210552.

Almost surely, 21343589072 is an apocalyptic number.

1343589072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343589072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986914496).

1343589072 is an abundant number, since it is smaller than the sum of its proper divisors (2630239920).

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

1343589072 is a wasteful number, since it uses less digits than its factorization.

1343589072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1343589072 is about 36655.0006411131. Note that the first 3 decimals coincide. The cubic root of 1343589072 is about 1103.4571869455.

The spelling of 1343589072 in words is "one billion, three hundred forty-three million, five hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 617 1234 1851 2468 3702 4319 4936 6481 7404 8638 9872 12957 12962 14808 17276 19443 25914 25924 29616 34552 38886 45367 51828 51848 69104 77772 90734 103656 103696 136101 155544 181468 207312 272202 311088 362936 544404 725872 1088808 2177616 3998777 7997554 11996331 15995108 23992662 27991439 31990216 47985324 55982878 63980432 83974317 95970648 111965756 167948634 191941296 223931512 335897268 447863024 671794536 1343589072