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6344416002 = 232363172859
BaseRepresentation
bin1011110100010100…
…00001101100000010
3121101011010201121110
411322022001230002
5100443132303002
62525314504150
7313135434441
oct57212015402
917334121543
106344416002
112766291711
121290895056
137a1548412
14442864d58
15271ebbe6c
hex17a281b02

6344416002 has 32 divisors (see below), whose sum is σ = 13261685760. Its totient is φ = 2019623760.

The previous prime is 6344415991. The next prime is 6344416003. The reversal of 6344416002 is 2006144436.

It is a super-2 number, since 2×63444160022 = 80503228812867328008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6344416003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50649 + ... + 123507.

It is an arithmetic number, because the mean of its divisors is an integer number (414427680).

Almost surely, 26344416002 is an apocalyptic number.

6344416002 is an abundant number, since it is smaller than the sum of its proper divisors (6917269758).

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

6344416002 is a wasteful number, since it uses less digits than its factorization.

6344416002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73518.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6344416002 is about 79651.8424269018. The cubic root of 6344416002 is about 1851.2449377445.

The spelling of 6344416002 in words is "six billion, three hundred forty-four million, four hundred sixteen thousand, two".

Divisors: 1 2 3 6 23 46 69 138 631 1262 1893 3786 14513 29026 43539 72859 87078 145718 218577 437154 1675757 3351514 5027271 10054542 45974029 91948058 137922087 275844174 1057402667 2114805334 3172208001 6344416002