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1001134340 = 225239112389
BaseRepresentation
bin111011101011000…
…001100100000100
32120202210220010122
4323223001210010
54022242244330
6243201441112
733544334003
oct7353014404
92522726118
101001134340
11474129058
1223b340198
1312c5465ab
1496d64c3a
155cd575e5
hex3bac1904

1001134340 has 48 divisors (see below), whose sum is σ = 2197117440. Its totient is φ = 382462080.

The previous prime is 1001134313. The next prime is 1001134391. The reversal of 1001134340 is 434311001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 417866 + ... + 420254.

It is an arithmetic number, because the mean of its divisors is an integer number (45773280).

Almost surely, 21001134340 is an apocalyptic number.

1001134340 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 1001134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098558720).

1001134340 is an abundant number, since it is smaller than the sum of its proper divisors (1195983100).

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

1001134340 is a wasteful number, since it uses less digits than its factorization.

1001134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1001134340 is about 31640.7070085357. The cubic root of 1001134340 is about 1000.3779704537.

Adding to 1001134340 its reverse (434311001), we get a palindrome (1435445341).

The spelling of 1001134340 in words is "one billion, one million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 911 1822 2389 3644 4555 4778 9110 9556 11945 18220 20953 23890 41906 47780 54947 83812 104765 109894 209530 219788 274735 419060 549470 1098940 2176379 4352758 8705516 10881895 21763790 43527580 50056717 100113434 200226868 250283585 500567170 1001134340