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340424640 = 2633531241
BaseRepresentation
bin10100010010100…
…111011111000000
3212201120100211000
4110102213133000
51144122042030
653440252000
711302363443
oct2422473700
9781510730
10340424640
11165185086
1296011000
13556b29ca
14332d765a
151ed46860
hex144a77c0

340424640 has 336 divisors, whose sum is σ = 1271198880. Its totient is φ = 85708800.

The previous prime is 340424603. The next prime is 340424647. The reversal of 340424640 is 46424043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340424647) 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 47 ways as a sum of consecutive naturals, for example, 8303020 + ... + 8303060.

It is an arithmetic number, because the mean of its divisors is an integer number (3783330).

Almost surely, 2340424640 is an apocalyptic number.

340424640 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 340424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635599440).

340424640 is an abundant number, since it is smaller than the sum of its proper divisors (930774240).

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

340424640 is a wasteful number, since it uses less digits than its factorization.

340424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 340424640 is about 18450.5999902442. The cubic root of 340424640 is about 698.2436513064.

Adding to 340424640 its reverse (46424043), we get a palindrome (386848683).

The spelling of 340424640 in words is "three hundred forty million, four hundred twenty-four thousand, six hundred forty".