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344542032340 = 2251137181233851
BaseRepresentation
bin1010000001110000100…
…11100011000111010100
31012221022201121201021121
411000320103203013110
521121110230013330
6422140323253324
733615033645052
oct5007023430724
91187281551247
10344542032340
11123134aa4480
125693651a244
132664abb356c
1412966a3b1d2
158e67cd817a
hex50384e31d4

344542032340 has 96 divisors (see below), whose sum is σ = 815129497728. Its totient is φ = 121227840000.

The previous prime is 344542032311. The next prime is 344542032353. The reversal of 344542032340 is 43230245443.

It is a junction number, because it is equal to n+sod(n) for n = 344542032296 and 344542032305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356415 + ... + 1590265.

It is an arithmetic number, because the mean of its divisors is an integer number (8490932268).

Almost surely, 2344542032340 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 344542032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407564748864).

344542032340 is an abundant number, since it is smaller than the sum of its proper divisors (470587465388).

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

344542032340 is a wasteful number, since it uses less digits than its factorization.

344542032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234089 (or 234087 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 344542032340 its reverse (43230245443), we get a palindrome (387772277783).

The spelling of 344542032340 in words is "three hundred forty-four billion, five hundred forty-two million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 181 185 220 362 370 407 724 740 814 905 1628 1810 1991 2035 3620 3982 4070 6697 7964 8140 9955 13394 19910 26788 33485 39820 66970 73667 133940 147334 233851 294668 368335 467702 736670 935404 1169255 1473340 2338510 2572361 4677020 5144722 8652487 10289444 12861805 17304974 25723610 34609948 42327031 43262435 51447220 84654062 86524870 95177357 169308124 173049740 190354714 211635155 380709428 423270310 465597341 475886785 846540620 931194682 951773570 1566100147 1862389364 1903547140 2327986705 3132200294 4655973410 6264400588 7830500735 9311946820 15661001470 17227101617 31322002940 34454203234 68908406468 86135508085 172271016170 344542032340