Search a number
-
+
342312640000 = 29541069727
BaseRepresentation
bin1001111101100110110…
…11000101111000000000
31012201120100121211220221
410332303123011320000
521102024013440000
6421131203512424
733505553300662
oct4766333057000
91181510554827
10342312640000
111221a0619a71
1256413988714
13263840606b6
14127d490c532
158d8721261a
hex4fb36c5e00

342312640000 has 100 divisors (see below), whose sum is σ = 854673092064. Its totient is φ = 136924928000.

The previous prime is 342312639979. The next prime is 342312640039. The reversal of 342312640000 is 46213243.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 9 ways as a sum of consecutive naturals, for example, 214864 + ... + 854863.

Almost surely, 2342312640000 is an apocalyptic number.

It is an amenable number.

342312640000 is an abundant number, since it is smaller than the sum of its proper divisors (512360452064).

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

342312640000 is an frugal number, since it uses more digits than its factorization.

342312640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069765 (or 1069734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 342312640000 its reverse (46213243), we get a palindrome (342358853243).

The spelling of 342312640000 in words is "three hundred forty-two billion, three hundred twelve million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 1069727 2139454 4278908 5348635 8557816 10697270 17115632 21394540 26743175 34231264 42789080 53486350 68462528 85578160 106972700 133715875 136925056 171156320 213945400 267431750 273850112 342312640 427890800 534863500 547700224 668579375 684625280 855781600 1069727000 1337158750 1369250560 1711563200 2139454000 2674317500 2738501120 3423126400 4278908000 5348635000 6846252800 8557816000 10697270000 13692505600 17115632000 21394540000 34231264000 42789080000 68462528000 85578160000 171156320000 342312640000