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1001340340 = 2257112134547
BaseRepresentation
bin111011101011110…
…011110110110100
32120210012100201021
4323223303312310
54022320342330
6243210110524
733546152410
oct7353636664
92523170637
101001340340
11474259900
1223b41b444
1312c5b92a0
1496db9d40
155cd9867a
hex3baf3db4

1001340340 has 144 divisors (see below), whose sum is σ = 2845374336. Its totient is φ = 288034560.

The previous prime is 1001340317. The next prime is 1001340349. The reversal of 1001340340 is 430431001.

It is a super-2 number, since 2×10013403402 = 2005364953022631200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001340349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217947 + ... + 222493.

It is an arithmetic number, because the mean of its divisors is an integer number (19759544).

Almost surely, 21001340340 is an apocalyptic number.

1001340340 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 1001340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422687168).

1001340340 is an abundant number, since it is smaller than the sum of its proper divisors (1844033996).

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

1001340340 is a wasteful number, since it uses less digits than its factorization.

1001340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4585 counting only the distinct ones).

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

The square root of 1001340340 is about 31643.9621412996. The cubic root of 1001340340 is about 1000.4465805361.

Adding to 1001340340 its reverse (430431001), we get a palindrome (1431771341).

The spelling of 1001340340 in words is "one billion, one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 4547 5005 6292 7865 8470 9094 10010 11011 15730 16940 18188 20020 22022 22735 31460 31829 44044 45470 50017 55055 59111 63658 90940 100034 110110 118222 127316 159145 200068 220220 236444 250085 295555 318290 350119 413777 500170 550187 591110 636580 650221 700238 827554 1000340 1100374 1182220 1300442 1400476 1655108 1750595 2068885 2200748 2600884 2750935 3251105 3501190 3851309 4137770 4551547 5501870 6502210 7002380 7152431 7702618 8275540 9103094 11003740 13004420 14304862 15405236 18206188 19256545 22757735 28609724 35762155 38513090 45515470 50067017 71524310 77026180 91030940 100134034 143048620 200268068 250335085 500670170 1001340340