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344240004222 = 23317388741543
BaseRepresentation
bin1010000001001100100…
…11011001110001111110
31012220112200022002121000
411000212103121301332
521120000420113342
6422050333551130
733604405520442
oct5004623316176
91186480262530
10344240004222
11122a9a565264
12568713454a6
13266004555ba
141293889a822
158e4b52844c
hex50264d9c7e

344240004222 has 64 divisors (see below), whose sum is σ = 770285583360. Its totient is φ = 113952032352.

The previous prime is 344240004211. The next prime is 344240004301. The reversal of 344240004222 is 222400042443.

344240004222 is a `hidden beast` number, since 34 + 4 + 2 + 400 + 0 + 4 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 8265583 + ... + 8307125.

It is an arithmetic number, because the mean of its divisors is an integer number (12035712240).

Almost surely, 2344240004222 is an apocalyptic number.

344240004222 is an abundant number, since it is smaller than the sum of its proper divisors (426045579138).

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

344240004222 is a wasteful number, since it uses less digits than its factorization.

344240004222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42614 (or 42608 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 344240004222 its reverse (222400042443), we get a palindrome (566640046665).

The spelling of 344240004222 in words is "three hundred forty-four billion, two hundred forty million, four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 173 346 519 887 1038 1557 1774 2661 3114 4671 5322 7983 9342 15966 23949 41543 47898 83086 124629 153451 249258 306902 373887 460353 747774 920706 1121661 1381059 2243322 2762118 4143177 7186939 8286354 14373878 21560817 36848641 43121634 64682451 73697282 110545923 129364902 194047353 221091846 331637769 388094706 663275538 994913307 1989826614 6374814893 12749629786 19124444679 38248889358 57373334037 114746668074 172120002111 344240004222