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801336840 = 23354723023
BaseRepresentation
bin101111110000110…
…110111000001000
32001211212010111020
4233300312320020
53120120234330
6211303232440
725600152003
oct5760667010
92054763436
10801336840
11381374257
121a4448720
13ca030515
14785d653a
154a53d210
hex2fc36e08

801336840 has 96 divisors (see below), whose sum is σ = 2457060480. Its totient is φ = 209074048.

The previous prime is 801336791. The next prime is 801336847. The reversal of 801336840 is 48633108.

801336840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8013368402 = 1284281462282371200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (801336847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263569 + ... + 266591.

It is an arithmetic number, because the mean of its divisors is an integer number (25594380).

Almost surely, 2801336840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801336840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228530240).

801336840 is an abundant number, since it is smaller than the sum of its proper divisors (1655723640).

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

801336840 is a wasteful number, since it uses less digits than its factorization.

801336840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 801336840 is about 28307.8935987827. The cubic root of 801336840 is about 928.8345674308.

Adding to 801336840 its reverse (48633108), we get a palindrome (849969948).

The spelling of 801336840 in words is "eight hundred one million, three hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2209 2820 3023 4418 5640 6046 6627 8836 9069 11045 12092 13254 15115 17672 18138 22090 24184 26508 30230 33135 36276 44180 45345 53016 60460 66270 72552 88360 90690 120920 132540 142081 181380 265080 284162 362760 426243 568324 710405 852486 1136648 1420810 1704972 2131215 2841620 3409944 4262430 5683240 6677807 8524860 13355614 17049720 20033421 26711228 33389035 40066842 53422456 66778070 80133684 100167105 133556140 160267368 200334210 267112280 400668420 801336840