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344313420 = 2235112332239
BaseRepresentation
bin10100100001011…
…100111001001100
3212222212221012220
4110201130321030
51201121012140
654055455340
711350421133
oct2441347114
9788787186
10344313420
111673a0850
1297387550
1356444a69
1433a2a91a
1520363bd0
hex1485ce4c

344313420 has 96 divisors (see below), whose sum is σ = 1056706560. Its totient is φ = 83074560.

The previous prime is 344313413. The next prime is 344313467. The reversal of 344313420 is 24313443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152661 + ... + 154899.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2344313420 is an apocalyptic number.

344313420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

344313420 is an abundant number, since it is smaller than the sum of its proper divisors (712393140).

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

344313420 is a wasteful number, since it uses less digits than its factorization.

344313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 344313420 is about 18555.6843042772. The cubic root of 344313420 is about 700.8923449676.

Adding to 344313420 its reverse (24313443), we get a palindrome (368626863).

The spelling of 344313420 in words is "three hundred forty-four million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 330 466 660 699 932 1165 1398 2239 2330 2563 2796 3495 4478 4660 5126 6717 6990 7689 8956 10252 11195 12815 13434 13980 15378 22390 24629 25630 26868 30756 33585 38445 44780 49258 51260 67170 73887 76890 98516 123145 134340 147774 153780 246290 295548 369435 492580 521687 738870 1043374 1477740 1565061 2086748 2608435 3130122 5216870 5738557 6260244 7825305 10433740 11477114 15650610 17215671 22954228 28692785 31301220 34431342 57385570 68862684 86078355 114771140 172156710 344313420