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800321040 = 243351919501
BaseRepresentation
bin101111101100111…
…110111000010000
32001202221112002000
4233230332320100
53114340233130
6211225354000
725555421331
oct5754767020
92052845060
10800321040
11380840052
121a4038900
13c9a6605c
1478410288
154a3dc260
hex2fb3ee10

800321040 has 160 divisors (see below), whose sum is σ = 2901897600. Its totient is φ = 202176000.

The previous prime is 800320991. The next prime is 800321047. The reversal of 800321040 is 40123008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800321047) 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 31 ways as a sum of consecutive naturals, for example, 31290 + ... + 50790.

It is an arithmetic number, because the mean of its divisors is an integer number (18136860).

Almost surely, 2800321040 is an apocalyptic number.

800321040 is a gapful number since it is divisible by the number (80) 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 800321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450948800).

800321040 is an abundant number, since it is smaller than the sum of its proper divisors (2101576560).

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

800321040 is a wasteful number, since it uses less digits than its factorization.

800321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19542 (or 19530 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 800321040 is about 28289.9459172336. The cubic root of 800321040 is about 928.4419280886.

Adding to 800321040 its reverse (40123008), we get a palindrome (840444048).

The spelling of 800321040 in words is "eight hundred million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 19501 20520 39002 41040 58503 78004 97505 117006 156008 175509 195010 234012 292515 312016 351018 370519 390020 468024 526527 585030 702036 741038 780040 877545 936048 1053054 1111557 1170060 1404072 1482076 1560080 1755090 1852595 2106108 2223114 2340120 2632635 2808144 2964152 3334671 3510180 3705190 4212216 4446228 4680240 5265270 5557785 5928304 6669342 7020360 7410380 8424432 8892456 10004013 10530540 11115570 13338684 14040720 14820760 16673355 17784912 20008026 21061080 22231140 26677368 29641520 33346710 40016052 42122160 44462280 50020065 53354736 66693420 80032104 88924560 100040130 133386840 160064208 200080260 266773680 400160520 800321040