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1000314340 = 225178335447
BaseRepresentation
bin111011100111111…
…001010111100100
32120201021020022021
4323213321113210
54022040024330
6243132112524
733534350224
oct7347712744
92521236267
101000314340
11473718a73
1223b005744
1312c31a29c
1496bd0084
155cc4467a
hex3b9f95e4

1000314340 has 48 divisors (see below), whose sum is σ = 2251089792. Its totient is φ = 372041216.

The previous prime is 1000314281. The next prime is 1000314373. The reversal of 1000314340 is 434130001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10497 + ... + 45943.

It is an arithmetic number, because the mean of its divisors is an integer number (46897704).

Almost surely, 21000314340 is an apocalyptic number.

1000314340 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 1000314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125544896).

1000314340 is an abundant number, since it is smaller than the sum of its proper divisors (1250775452).

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

1000314340 is a wasteful number, since it uses less digits than its factorization.

1000314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556 (or 35554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1000314340 is about 31627.7463629643. The cubic root of 1000314340 is about 1000.1047690231.

Adding to 1000314340 its reverse (434130001), we get a palindrome (1434444341).

The spelling of 1000314340 in words is "one billion, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1411 1660 2822 5644 7055 14110 28220 35447 70894 141788 177235 354470 602599 708940 1205198 2410396 2942101 3012995 5884202 6025990 11768404 12051980 14710505 29421010 50015717 58842020 100031434 200062868 250078585 500157170 1000314340