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1002134340 = 223259475879
BaseRepresentation
bin111011101110110…
…101101101000100
32120211200200212200
4323232311231010
54023021244330
6243235114500
733556000314
oct7356655504
92524620780
101002134340
114747513a9
1223b742a30
1312c8067cc
1497145444
155cea3a60
hex3bbb5b44

1002134340 has 72 divisors (see below), whose sum is σ = 3043535040. Its totient is φ = 266908224.

The previous prime is 1002134327. The next prime is 1002134363. The reversal of 1002134340 is 434312001.

1002134340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167521 + ... + 173399.

It is an arithmetic number, because the mean of its divisors is an integer number (42271320).

Almost surely, 21002134340 is an apocalyptic number.

1002134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002134340 is an abundant number, since it is smaller than the sum of its proper divisors (2041400700).

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

1002134340 is a wasteful number, since it uses less digits than its factorization.

1002134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002134340 is about 31656.5054925524. The cubic root of 1002134340 is about 1000.7109411096.

Adding to 1002134340 its reverse (434312001), we get a palindrome (1436446341).

The spelling of 1002134340 in words is "one billion, two million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 947 1894 2841 3788 4735 5682 5879 8523 9470 11364 11758 14205 17046 17637 18940 23516 28410 29395 34092 35274 42615 52911 56820 58790 70548 85230 88185 105822 117580 170460 176370 211644 264555 352740 529110 1058220 5567413 11134826 16702239 22269652 27837065 33404478 50106717 55674130 66808956 83511195 100213434 111348260 167022390 200426868 250533585 334044780 501067170 1002134340