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801234240 = 26356712457
BaseRepresentation
bin101111110000011…
…101110101000000
32001211122220202020
4233300131311000
53120103443430
6211301121440
725566243612
oct5760356500
92054586666
10801234240
11381304164
121a43b9280
13c9cc5901
14785aadb2
154a51cb10
hex2fc1dd40

801234240 has 112 divisors (see below), whose sum is σ = 2582094912. Its totient is φ = 210456576.

The previous prime is 801234229. The next prime is 801234281. The reversal of 801234240 is 42432108.

801234240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 801234240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58092 + ... + 70548.

Almost surely, 2801234240 is an apocalyptic number.

801234240 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 801234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291047456).

801234240 is an abundant number, since it is smaller than the sum of its proper divisors (1780860672).

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

801234240 is a wasteful number, since it uses less digits than its factorization.

801234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 801234240 is about 28306.0813253972. The cubic root of 801234240 is about 928.7949243039.

Adding to 801234240 its reverse (42432108), we get a palindrome (843666348).

The spelling of 801234240 in words is "eight hundred one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12457 12864 16080 21440 24914 32160 37371 49828 62285 64320 74742 99656 124570 149484 186855 199312 249140 298968 373710 398624 498280 597936 747420 797248 834619 996560 1195872 1494840 1669238 1993120 2391744 2503857 2989680 3338476 3986240 4173095 5007714 5979360 6676952 8346190 10015428 11958720 12519285 13353904 16692380 20030856 25038570 26707808 33384760 40061712 50077140 53415616 66769520 80123424 100154280 133539040 160246848 200308560 267078080 400617120 801234240