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1051344240 = 243510940189
BaseRepresentation
bin111110101010100…
…011110101110000
32201021021211011120
4332222203311300
54123121003430
6252153542240
735024164362
oct7652436560
92637254146
101051344240
1149a502541
12254114980
13139a763ab
149d8b4d32
1562474610
hex3eaa3d70

1051344240 has 80 divisors (see below), whose sum is σ = 3289149600. Its totient is φ = 277779456.

The previous prime is 1051344193. The next prime is 1051344241. The reversal of 1051344240 is 424431501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10513442402 = 2210649421962355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1051344240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051344241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6066 + ... + 46254.

It is an arithmetic number, because the mean of its divisors is an integer number (41114370).

Almost surely, 21051344240 is an apocalyptic number.

1051344240 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 1051344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644574800).

1051344240 is an abundant number, since it is smaller than the sum of its proper divisors (2237805360).

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

1051344240 is a wasteful number, since it uses less digits than its factorization.

1051344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40314 (or 40308 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1051344240 is about 32424.4389311519. The cubic root of 1051344240 is about 1016.8299117363.

Adding to 1051344240 its reverse (424431501), we get a palindrome (1475775741).

The spelling of 1051344240 in words is "one billion, fifty-one million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 40189 80378 120567 160756 200945 241134 321512 401890 482268 602835 643024 803780 964536 1205670 1607560 1929072 2411340 3215120 4380601 4822680 8761202 9645360 13141803 17522404 21903005 26283606 35044808 43806010 52567212 65709015 70089616 87612020 105134424 131418030 175224040 210268848 262836060 350448080 525672120 1051344240