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342244665 = 32572269577
BaseRepresentation
bin10100011001100…
…011110100111001
3212211222211102100
4110121203310321
51200103312130
653543254013
711324013600
oct2431436471
9784884370
10342244665
11166208534
129674a309
1355b9c249
143364ca37
15200a5c60
hex14663d39

342244665 has 72 divisors (see below), whose sum is σ = 693842760. Its totient is φ = 155602944.

The previous prime is 342244649. The next prime is 342244673. The reversal of 342244665 is 566442243.

It can be written as a sum of positive squares in 4 ways, for example, as 54331641 + 287913024 = 7371^2 + 16968^2 .

It is not a de Polignac number, because 342244665 - 24 = 342244649 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 592857 + ... + 593433.

It is an arithmetic number, because the mean of its divisors is an integer number (9636705).

Almost surely, 2342244665 is an apocalyptic number.

342244665 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342244665 is an abundant number, since it is smaller than the sum of its proper divisors (351598095).

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

342244665 is a wasteful number, since it uses less digits than its factorization.

342244665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 342244665 is about 18499.8558102489. The cubic root of 342244665 is about 699.4857890264.

The spelling of 342244665 in words is "three hundred forty-two million, two hundred forty-four thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 269 315 441 577 735 807 1345 1731 1883 2205 2421 2885 4035 4039 5193 5649 8655 9415 12105 12117 13181 16947 20195 25965 28245 28273 36351 39543 60585 65905 84735 84819 118629 141365 155213 181755 197715 254457 424095 465639 593145 776065 1086491 1272285 1396917 2328195 3259473 5432455 6984585 7605437 9778419 16297365 22816311 38027185 48892095 68448933 114081555 342244665