Search a number
-
+
341781273840 = 24355331878431
BaseRepresentation
bin1001111100100111100…
…00000101110011110000
31012200012022202122120210
410332103300011303300
521044432001230330
6421002342504120
733456441615336
oct4762360056360
91180168678523
10341781273840
11121a48689786
12562a5a35040
13262cac45856
141278410db56
158d557508b0
hex4f93c05cf0

341781273840 has 160 divisors (see below), whose sum is σ = 1079979734016. Its totient is φ = 89383357440.

The previous prime is 341781273829. The next prime is 341781273857. The reversal of 341781273840 is 48372187143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 341781273840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40534425 + ... + 40542855.

Almost surely, 2341781273840 is an apocalyptic number.

341781273840 is a gapful number since it is divisible by the number (30) 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 341781273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539989867008).

341781273840 is an abundant number, since it is smaller than the sum of its proper divisors (738198460176).

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

341781273840 is a wasteful number, since it uses less digits than its factorization.

341781273840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 341781273840 in words is "three hundred forty-one billion, seven hundred eighty-one million, two hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 3187 4240 6360 6374 8431 9561 12720 12748 15935 16862 19122 25293 25496 31870 33724 38244 42155 47805 50586 50992 63740 67448 76488 84310 95610 101172 126465 127480 134896 152976 168620 168911 191220 202344 252930 254960 337240 337822 382440 404688 446843 505860 506733 674480 675644 764880 844555 893686 1011720 1013466 1340529 1351288 1689110 1787372 2023440 2026932 2234215 2533665 2681058 2702576 3378220 3574744 4053864 4468430 5067330 5362116 6702645 6756440 7149488 8107728 8936860 10134660 10724232 13405290 13512880 17873720 20269320 21448464 26810580 26869597 35747440 40538640 53621160 53739194 80608791 107242320 107478388 134347985 161217582 214956776 268695970 322435164 403043955 429913552 537391940 644870328 806087910 1074783880 1289740656 1424088641 1612175820 2149567760 2848177282 3224351640 4272265923 5696354564 6448703280 7120443205 8544531846 11392709128 14240886410 17089063692 21361329615 22785418256 28481772820 34178127384 42722659230 56963545640 68356254768 85445318460 113927091280 170890636920 341781273840