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1083344340 = 2235132635281
BaseRepresentation
bin100000010010010…
…1000010111010100
32210111111121001110
41000210220113110
54204314004330
6255255455020
735563163211
oct10044502724
92714447043
101083344340
11506579701
12262987470
1314359b870
14a3c44b08
1565195db0
hex409285d4

1083344340 has 96 divisors (see below), whose sum is σ = 3279741696. Its totient is φ = 265605120.

The previous prime is 1083344257. The next prime is 1083344347. The reversal of 1083344340 is 434433801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1083344298 and 1083344307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083344347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 202500 + ... + 207780.

It is an arithmetic number, because the mean of its divisors is an integer number (34163976).

Almost surely, 21083344340 is an apocalyptic number.

1083344340 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 1083344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639870848).

1083344340 is an abundant number, since it is smaller than the sum of its proper divisors (2196397356).

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

1083344340 is a wasteful number, since it uses less digits than its factorization.

1083344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1083344340 is about 32914.1966330640. The cubic root of 1083344340 is about 1027.0435028553.

The spelling of 1083344340 in words is "one billion, eighty-three million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 263 390 526 780 789 1052 1315 1578 2630 3156 3419 3945 5260 5281 6838 7890 10257 10562 13676 15780 15843 17095 20514 21124 26405 31686 34190 41028 51285 52810 63372 68380 68653 79215 102570 105620 137306 158430 205140 205959 274612 316860 343265 411918 686530 823836 1029795 1373060 1388903 2059590 2777806 4119180 4166709 5555612 6944515 8333418 13889030 16666836 18055739 20833545 27778060 36111478 41667090 54167217 72222956 83334180 90278695 108334434 180557390 216668868 270836085 361114780 541672170 1083344340