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344021442444 = 223223833400963
BaseRepresentation
bin1010000000110010100…
…01101001111110001100
31012212222110001000012100
411000121101221332030
521114023442124234
6422012525235100
733566113004211
oct5003121517614
91185873030170
10344021442444
11122998154599
1256810102a90
132659709c6c4
1412917845b08
158e37254399
hex5019469f8c

344021442444 has 36 divisors (see below), whose sum is σ = 869648413816. Its totient is φ = 114668716608.

The previous prime is 344021442431. The next prime is 344021442461. The reversal of 344021442444 is 444244120443.

It is a happy number.

344021442444 is a `hidden beast` number, since 3 + 4 + 402 + 1 + 4 + 4 + 244 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3440214424442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344021442399 and 344021442408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657507 + ... + 1058469.

Almost surely, 2344021442444 is an apocalyptic number.

It is an amenable number.

344021442444 is an abundant number, since it is smaller than the sum of its proper divisors (525626971372).

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

344021442444 is a wasteful number, since it uses less digits than its factorization.

344021442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424806 (or 424801 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 344021442444 its reverse (444244120443), we get a palindrome (788265562887).

The spelling of 344021442444 in words is "three hundred forty-four billion, twenty-one million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 23833 47666 71499 95332 142998 214497 285996 400963 428994 801926 857988 1202889 1603852 2405778 3608667 4811556 7217334 14434668 9556151179 19112302358 28668453537 38224604716 57336907074 86005360611 114673814148 172010721222 344021442444