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1101340440 = 2332522713477
BaseRepresentation
bin100000110100101…
…0001111100011000
32211202100220001200
41001221101330120
54223420343230
6301141314200
736202145034
oct10151217430
92752326050
101101340440
11515750412
12268a05960
1314722cb45
14a63ab1c4
1566a4d160
hex41a51f18

1101340440 has 96 divisors (see below), whose sum is σ = 3595391280. Its totient is φ = 292375296.

The previous prime is 1101340321. The next prime is 1101340447. The reversal of 1101340440 is 440431011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101340447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74982 + ... + 88458.

Almost surely, 21101340440 is an apocalyptic number.

1101340440 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 1101340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797695640).

1101340440 is an abundant number, since it is smaller than the sum of its proper divisors (2494050840).

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

1101340440 is a wasteful number, since it uses less digits than its factorization.

1101340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1101340440 is about 33186.4496443955. The cubic root of 1101340440 is about 1032.6992511787.

Adding to 1101340440 its reverse (440431011), we get a palindrome (1541771451).

The spelling of 1101340440 in words is "one billion, one hundred one million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 227 360 454 681 908 1135 1362 1816 2043 2270 2724 3405 4086 4540 5448 6810 8172 9080 10215 13477 13620 16344 20430 26954 27240 40431 40860 53908 67385 80862 81720 107816 121293 134770 161724 202155 242586 269540 323448 404310 485172 539080 606465 808620 970344 1212930 1617240 2425860 3059279 4851720 6118558 9177837 12237116 15296395 18355674 24474232 27533511 30592790 36711348 45889185 55067022 61185580 73422696 91778370 110134044 122371160 137667555 183556740 220268088 275335110 367113480 550670220 1101340440