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336394240 = 2115713192
BaseRepresentation
bin10100000011001…
…111100000000000
3212102222121010221
4110003033200000
51142104103430
653214032424
711223206140
oct2403174000
9772877127
10336394240
11162981a76
12947a8714
1354901360
1432968920
151e7ec57a
hex140cf800

336394240 has 288 divisors, whose sum is σ = 1048451040. Its totient is φ = 100859904.

The previous prime is 336394231. The next prime is 336394243. The reversal of 336394240 is 42493633.

It is a super-2 number, since 2×3363942402 = 226322169410355200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336394196 and 336394205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336394243) 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, 17704951 + ... + 17704969.

It is an arithmetic number, because the mean of its divisors is an integer number (3640455).

Almost surely, 2336394240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

336394240 is an abundant number, since it is smaller than the sum of its proper divisors (712056800).

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

336394240 is a wasteful number, since it uses less digits than its factorization.

336394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 336394240 is about 18341.0534048620. The cubic root of 336394240 is about 695.4771252311.

The spelling of 336394240 in words is "three hundred thirty-six million, three hundred ninety-four thousand, two hundred forty".