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334253440 = 2751015171
BaseRepresentation
bin10011111011000…
…100110110000000
3212021221211112001
4103323010312000
51141032102230
653100113344
711166051553
oct2373046600
9767854461
10334253440
1116174a614
1293b35854
1354331b01
143256c69a
151e5280ca
hex13ec4d80

334253440 has 64 divisors (see below), whose sum is σ = 807142320. Its totient is φ = 132352000.

The previous prime is 334253401. The next prime is 334253441. The reversal of 334253440 is 44352433.

334253440 is a nontrivial binomial coefficient, being equal to C(25856, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3342534402 = 223450724303667200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334253399 and 334253408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334253441) 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 7 ways as a sum of consecutive naturals, for example, 62055 + ... + 67225.

Almost surely, 2334253440 is an apocalyptic number.

334253440 is the 25855-th triangular number and also the 12928-th hexagonal number.

334253440 is the 8619-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403571160).

334253440 is an abundant number, since it is smaller than the sum of its proper divisors (472888880).

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

334253440 is a wasteful number, since it uses less digits than its factorization.

334253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 334253440 is about 18282.5993775502. The cubic root of 334253440 is about 693.9986545830.

The spelling of 334253440 in words is "three hundred thirty-four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 5171 6464 8080 10342 12928 16160 20684 25855 32320 41368 51710 64640 82736 103420 165472 206840 330944 413680 522271 661888 827360 1044542 1654720 2089084 2611355 3309440 4178168 5222710 8356336 10445420 16712672 20890840 33425344 41781680 66850688 83563360 167126720 334253440