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335240640 = 26335723241
BaseRepresentation
bin10011111110110…
…101110111000000
3212100210222201000
4103332311313000
51141310200030
653133212000
711210332650
oct2376656700
9770728630
10335240640
11162264289
1294331000
13545b9257
1432748360
151e670860
hex13fb5dc0

335240640 has 448 divisors, whose sum is σ = 1416222720. Its totient is φ = 72990720.

The previous prime is 335240639. The next prime is 335240669. The reversal of 335240640 is 46042533.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3352406402 = 224772573415219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390920 + ... + 1391160.

Almost surely, 2335240640 is an apocalyptic number.

335240640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708111360).

335240640 is an abundant number, since it is smaller than the sum of its proper divisors (1080982080).

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

335240640 is a wasteful number, since it uses less digits than its factorization.

335240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 335240640 is about 18309.5778214573. The cubic root of 335240640 is about 694.6812125966.

The spelling of 335240640 in words is "three hundred thirty-five million, two hundred forty thousand, six hundred forty".