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344444200002 = 23274534360289
BaseRepresentation
bin1010000001100100111…
…10010110010001000010
31012221001220112022112200
411000302132112101002
521120410203400002
6422122510334030
733612435251430
oct5006236262102
91187056468480
10344444200002
11123094853601
12569097ba316
132663384b5c6
1412957a51d50
158e5e410b1c
hex5032796442

344444200002 has 48 divisors (see below), whose sum is σ = 852942405120. Its totient is φ = 98408825856.

The previous prime is 344444199991. The next prime is 344444200007. The reversal of 344444200002 is 200002444443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (344444200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5683074 + ... + 5743362.

It is an arithmetic number, because the mean of its divisors is an integer number (17769633440).

Almost surely, 2344444200002 is an apocalyptic number.

344444200002 is an abundant number, since it is smaller than the sum of its proper divisors (508498205118).

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

344444200002 is a wasteful number, since it uses less digits than its factorization.

344444200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105647 (or 105644 counting only the distinct ones).

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

Adding to 344444200002 its reverse (200002444443), we get a palindrome (544446644445).

It can be divided in two parts, 344444 and 200002, that added together give a triangular number (544446 = T1043).

The spelling of 344444200002 in words is "three hundred forty-four billion, four hundred forty-four million, two hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 45343 60289 90686 120578 136029 180867 272058 317401 361734 408087 422023 542601 634802 816174 844046 952203 1085202 1266069 1904406 2532138 2856609 3798207 5713218 7596414 2733684127 5467368254 8201052381 16402104762 19135788889 24603157143 38271577778 49206314286 57407366667 114814733334 172222100001 344444200002