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1340240340 = 2235433591447
BaseRepresentation
bin100111111100010…
…0111000111010100
310110101220021010010
41033320213013110
510221100142330
6340554000220
745132566145
oct11770470724
93411807103
101340240340
1162859244a
12314a16070
1318488702a
14c9dd7acc
157c9dd3b0
hex4fe271d4

1340240340 has 96 divisors (see below), whose sum is σ = 3853301760. Its totient is φ = 347872896.

The previous prime is 1340240303. The next prime is 1340240357. The reversal of 1340240340 is 430420431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925497 + ... + 926943.

It is an arithmetic number, because the mean of its divisors is an integer number (40138560).

Almost surely, 21340240340 is an apocalyptic number.

1340240340 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 1340240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926650880).

1340240340 is an abundant number, since it is smaller than the sum of its proper divisors (2513061420).

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

1340240340 is a wasteful number, since it uses less digits than its factorization.

1340240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1340240340 is about 36609.2930824948. The cubic root of 1340240340 is about 1102.5396800832.

Adding to 1340240340 its reverse (430420431), we get a palindrome (1770660771).

The spelling of 1340240340 in words is "one billion, three hundred forty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 359 430 516 645 718 860 1077 1290 1436 1447 1795 2154 2580 2894 3590 4308 4341 5385 5788 7180 7235 8682 10770 14470 15437 17364 21540 21705 28940 30874 43410 46311 61748 62221 77185 86820 92622 124442 154370 185244 186663 231555 248884 308740 311105 373326 463110 519473 622210 746652 926220 933315 1038946 1244420 1558419 1866630 2077892 2597365 3116838 3733260 5194730 6233676 7792095 10389460 15584190 22337339 31168380 44674678 67012017 89349356 111686695 134024034 223373390 268048068 335060085 446746780 670120170 1340240340