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336434242000 = 2453168217121
BaseRepresentation
bin1001110010101010000…
…10110010000111010000
31012011101200101021211111
410321111002302013100
521003004131221000
6414320013223104
733210103605253
oct4712502620720
91164350337744
10336434242000
1111a7543a45aa
1255253191a94
132595822ca9c
14123d7d1509a
158b410e9cba
hex4e550b21d0

336434242000 has 40 divisors (see below), whose sum is σ = 813498001992. Its totient is φ = 134573696000.

The previous prime is 336434241937. The next prime is 336434242007. The reversal of 336434242000 is 242434633.

It can be written as a sum of positive squares in 4 ways, for example, as 23644597824 + 312789644176 = 153768^2 + 559276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3364342420002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336434242007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84106561 + ... + 84110560.

Almost surely, 2336434242000 is an apocalyptic number.

It is an amenable number.

336434242000 is an abundant number, since it is smaller than the sum of its proper divisors (477063759992).

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

336434242000 is a wasteful number, since it uses less digits than its factorization.

336434242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168217144 (or 168217128 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 336434242000 its reverse (242434633), we get a palindrome (336676676633).

The spelling of 336434242000 in words is "three hundred thirty-six billion, four hundred thirty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 168217121 336434242 672868484 841085605 1345736968 1682171210 2691473936 3364342420 4205428025 6728684840 8410856050 13457369680 16821712100 21027140125 33643424200 42054280250 67286848400 84108560500 168217121000 336434242000