Search a number
-
+
345042213340 = 225112419735851
BaseRepresentation
bin1010000010101100001…
…11100101100111011100
31012222121120210112121211
411001112013211213130
521123121301311330
6422302112034204
733633316264516
oct5012607454734
91188546715554
10345042213340
11123371374900
1256a55b32964
13266ca6ccb56
14129b323cbb6
158e96b89d2a
hex50561e59dc

345042213340 has 144 divisors (see below), whose sum is σ = 824308323552. Its totient is φ = 121144320000.

The previous prime is 345042213301. The next prime is 345042213401. The reversal of 345042213340 is 43312240543.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 9606415 + ... + 9642265.

It is an arithmetic number, because the mean of its divisors is an integer number (5724363358).

Almost surely, 2345042213340 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 345042213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412154161776).

345042213340 is an abundant number, since it is smaller than the sum of its proper divisors (479266110212).

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

345042213340 is a wasteful number, since it uses less digits than its factorization.

345042213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36020 (or 36007 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 345042213340 its reverse (43312240543), we get a palindrome (388354453883).

The spelling of 345042213340 in words is "three hundred forty-five billion, forty-two million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 97 110 121 164 194 205 220 242 388 410 451 484 485 605 820 902 970 1067 1210 1804 1940 2134 2255 2420 3977 4268 4510 4961 5335 7954 9020 9922 10670 11737 15908 19844 19885 21340 23474 24805 35851 39770 43747 46948 49610 58685 71702 79540 87494 99220 117370 143404 174988 179255 218735 234740 358510 394361 437470 481217 717020 788722 874940 962434 1469891 1577444 1924868 1971805 2406085 2939782 3477547 3943610 4337971 4812170 5879564 6955094 7349455 7887220 8675942 9624340 13910188 14698910 16168801 17351884 17387735 21689855 29397820 32337602 34775470 38253017 43379710 64675204 69550940 76506034 80844005 86759420 142579427 153012068 161688010 177856811 191265085 285158854 323376020 355713622 382530170 420783187 570317708 711427244 712897135 765060340 841566374 889284055 1425794270 1568373697 1683132748 1778568110 2103915935 2851588540 3136747394 3557136220 4207831870 6273494788 7841868485 8415663740 15683736970 17252110667 31367473940 34504221334 69008442668 86260553335 172521106670 345042213340