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340224444441400 = 23521726829861947
BaseRepresentation
bin100110101011011101010110…
…1001001111010001100111000
31122121122010202111200120100111
41031112322231021322030320
5324043214130234111100
63203332541351514104
7131443255620026611
oct11526725511721470
91577563674616314
10340224444441400
1199451416288382
12321a993a088934
13117ac0483b964c
146002d45680c08
152950042a326ba
hex1356ead27a338

340224444441400 has 144 divisors (see below), whose sum is σ = 840413651434200. Its totient is φ = 128065592186880.

The previous prime is 340224444441319. The next prime is 340224444441443. The reversal of 340224444441400 is 4144444422043.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 394285227 + ... + 395147173.

Almost surely, 2340224444441400 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 340224444441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420206825717100).

340224444441400 is an abundant number, since it is smaller than the sum of its proper divisors (500189206992800).

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

340224444441400 is a wasteful number, since it uses less digits than its factorization.

340224444441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868826 (or 868800 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 340224444441400 its reverse (4144444422043), we get a palindrome (344368888863443).

The spelling of 340224444441400 in words is "three hundred forty trillion, two hundred twenty-four billion, four hundred forty-four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1700 2312 2890 3400 5780 6829 7225 11560 13658 14450 27316 28900 34145 54632 57800 68290 116093 136580 170725 232186 273160 341450 464372 580465 682900 861947 928744 1160930 1365800 1723894 1973581 2321860 2902325 3447788 3947162 4309735 4643720 5804650 6895576 7894324 8619470 9867905 11609300 14653099 15788648 17238940 19735810 21548675 23218600 29306198 34477880 39471620 43097350 49339525 58612396 73265495 78943240 86194700 98679050 117224792 146530990 172389400 197358100 249102683 293061980 366327475 394716200 498205366 586123960 732654950 996410732 1245513415 1465309900 1992821464 2491026830 2930619800 4982053660 5886236063 6227567075 9964107320 11772472126 12455134150 23544944252 24910268300 29431180315 47089888504 49820536600 58862360630 100066013071 117724721260 147155901575 200132026142 235449442520 294311803150 400264052284 500330065355 588623606300 800528104568 1000660130710 1177247212600 1701122222207 2001320261420 2501650326775 3402244444414 4002640522840 5003300653550 6804488888828 8505611111035 10006601307100 13608977777656 17011222222070 20013202614200 34022444444140 42528055555175 68044888888280 85056111110350 170112222220700 340224444441400