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1001321340 = 2235127331397
BaseRepresentation
bin111011101011101…
…111001101111100
32120210011101122120
4323223233031330
54022314240330
6243205442540
733546043125
oct7353571574
92523141576
101001321340
114742465a8
1223b410450
1312c5b0746
1496db304c
155cd92c10
hex3baef37c

1001321340 has 96 divisors (see below), whose sum is σ = 2841452544. Its totient is φ = 263450880.

The previous prime is 1001321333. The next prime is 1001321357. The reversal of 1001321340 is 431231001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2522022 + ... + 2522418.

It is an arithmetic number, because the mean of its divisors is an integer number (29598464).

Almost surely, 21001321340 is an apocalyptic number.

1001321340 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 1001321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420726272).

1001321340 is an abundant number, since it is smaller than the sum of its proper divisors (1840131204).

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

1001321340 is a wasteful number, since it uses less digits than its factorization.

1001321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1001321340 is about 31643.6619246256. The cubic root of 1001321340 is about 1000.4402528157.

Adding to 1001321340 its reverse (431231001), we get a palindrome (1432552341).

The spelling of 1001321340 in words is "one billion, one million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 331 381 397 508 635 662 762 794 993 1191 1270 1324 1524 1588 1655 1905 1985 1986 2382 2540 3310 3810 3970 3972 4764 4965 5955 6620 7620 7940 9930 11910 19860 23820 42037 50419 84074 100838 126111 131407 151257 168148 201676 210185 252095 252222 262814 302514 394221 420370 504190 504444 525628 605028 630555 657035 756285 788442 840740 1008380 1261110 1314070 1512570 1576884 1971105 2522220 2628140 3025140 3942210 7884420 16688689 33377378 50066067 66754756 83443445 100132134 166886890 200264268 250330335 333773780 500660670 1001321340