Search a number
-
+
344344202110432 = 2529463780021687
BaseRepresentation
bin100111001001011011110000…
…1110110001110010111100000
31200011012222120111120012012001
41032102313201312032113200
5330113213411220013212
63220205313112213344
7132350022222314116
oct11622674166162740
91604188514505161
10344344202110432
119a79a613069237
123275426869a254
1311a1a699113624
1461064c3a85ab6
1529c22b2576657
hex1392de1d8e5e0

344344202110432 has 48 divisors (see below), whose sum is σ = 701455713104160. Its totient is φ = 166199280260608.

The previous prime is 344344202110427. The next prime is 344344202110451. The reversal of 344344202110432 is 234011202443443.

It is a junction number, because it is equal to n+sod(n) for n = 344344202110391 and 344344202110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35707708 + ... + 44313979.

It is an arithmetic number, because the mean of its divisors is an integer number (14613660689670).

Almost surely, 2344344202110432 is an apocalyptic number.

344344202110432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344344202110432 is an abundant number, since it is smaller than the sum of its proper divisors (357111510993728).

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

344344202110432 is a wasteful number, since it uses less digits than its factorization.

344344202110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80026363 (or 80026355 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 344344202110432 its reverse (234011202443443), we get a palindrome (578355404553875).

The spelling of 344344202110432 in words is "three hundred forty-four trillion, three hundred forty-four billion, two hundred two million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 4637 9274 18548 37096 74192 134473 148384 268946 537892 1075784 2151568 4303136 80021687 160043374 320086748 640173496 1280346992 2320628923 2560693984 4641257846 9282515692 18565031384 37130062768 74260125536 371060562619 742121125238 1484242250476 2968484500952 5936969001904 10760756315951 11873938003808 21521512631902 43043025263804 86086050527608 172172101055216 344344202110432