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1343505440 = 25523675449
BaseRepresentation
bin101000000010100…
…0100010000100000
310110122001010222202
41100011010100200
510222414133230
6341151552332
745202415324
oct12005042040
93418033882
101343505440
1162a412582
12315b2b6a8
1318545b244
14ca607984
157ce35a45
hex50144420

1343505440 has 96 divisors (see below), whose sum is σ = 3362083200. Its totient is φ = 506271744.

The previous prime is 1343505413. The next prime is 1343505467. The reversal of 1343505440 is 445053431.

It is an interprime number because it is at equal distance from previous prime (1343505413) and next prime (1343505467).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243836 + ... + 249284.

It is an arithmetic number, because the mean of its divisors is an integer number (35021700).

Almost surely, 21343505440 is an apocalyptic number.

1343505440 is a gapful number since it is divisible by the number (10) 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 1343505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681041600).

1343505440 is an abundant number, since it is smaller than the sum of its proper divisors (2018577760).

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

1343505440 is a wasteful number, since it uses less digits than its factorization.

1343505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 1343505440 is about 36653.8598240349. The cubic root of 1343505440 is about 1103.4342914912.

Adding to 1343505440 its reverse (445053431), we get a palindrome (1788558871).

The spelling of 1343505440 in words is "one billion, three hundred forty-three million, five hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 67 80 92 115 134 160 184 230 268 335 368 460 536 670 736 920 1072 1340 1541 1840 2144 2680 3082 3680 5360 5449 6164 7705 10720 10898 12328 15410 21796 24656 27245 30820 43592 49312 54490 61640 87184 108980 123280 125327 174368 217960 246560 250654 365083 435920 501308 626635 730166 871840 1002616 1253270 1460332 1825415 2005232 2506540 2920664 3650830 4010464 5013080 5841328 7301660 8396909 10026160 11682656 14603320 16793818 20052320 29206640 33587636 41984545 58413280 67175272 83969090 134350544 167938180 268701088 335876360 671752720 1343505440