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340230223442300 = 225213749150579069
BaseRepresentation
bin100110101011100000000010…
…1100111000011000101111100
31122121122200200020220020020212
41031113000011213003011330
5324043312444200123200
63203335335031531552
7131443552051521002
oct11527000547030574
91577580606806225
10340230223442300
1199453911393284
12321aaa91529bb8
13117ac759757cc9
146003332da2a72
152950280064035
hex13570059c317c

340230223442300 has 72 divisors (see below), whose sum is σ = 745203288468240. Its totient is φ = 134823563660800.

The previous prime is 340230223442279. The next prime is 340230223442303. The reversal of 340230223442300 is 3244322032043.

It is a happy number.

It is a super-2 number, since 2×3402302234423002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340230223442303) 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, 18562835 + ... + 32016234.

It is an arithmetic number, because the mean of its divisors is an integer number (10350045673170).

Almost surely, 2340230223442300 is an apocalyptic number.

It is an amenable number.

340230223442300 is an abundant number, since it is smaller than the sum of its proper divisors (404973065025940).

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

340230223442300 is a wasteful number, since it uses less digits than its factorization.

340230223442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50579711 (or 50579704 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 340230223442300 its reverse (3244322032043), we get a palindrome (343474545474343).

The spelling of 340230223442300 in words is "three hundred forty trillion, two hundred thirty billion, two hundred twenty-three million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 491 548 685 982 1370 1964 2455 2740 3425 4910 6850 9820 12275 13700 24550 49100 67267 134534 269068 336335 672670 1345340 1681675 3363350 6726700 50579069 101158138 202316276 252895345 505790690 1011581380 1264476725 2528953450 5057906900 6929332453 13858664906 24834322879 27717329812 34646662265 49668645758 69293324530 99337291516 124171614395 138586649060 173233311325 248343228790 346466622650 496686457580 620858071975 692933245300 1241716143950 2483432287900 3402302234423 6804604468846 13609208937692 17011511172115 34023022344230 68046044688460 85057555860575 170115111721150 340230223442300