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340343640 = 233357133463
BaseRepresentation
bin10100010010010…
…011101101011000
3212201102020201000
4110102103231120
51144111444030
653434425000
711301605340
oct2422235530
9781366630
10340343640
1116512a23a
1295b92160
1355684b90
14332b5d20
151ed2c860
hex14493b58

340343640 has 256 divisors, whose sum is σ = 1396684800. Its totient is φ = 71788032.

The previous prime is 340343603. The next prime is 340343657. The reversal of 340343640 is 46343043.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 96549 + ... + 100011.

It is an arithmetic number, because the mean of its divisors is an integer number (5455800).

Almost surely, 2340343640 is an apocalyptic number.

340343640 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 340343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698342400).

340343640 is an abundant number, since it is smaller than the sum of its proper divisors (1056341160).

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

340343640 is a wasteful number, since it uses less digits than its factorization.

340343640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 340343640 is about 18448.4048090885. The cubic root of 340343640 is about 698.1882673188.

Adding to 340343640 its reverse (46343043), we get a palindrome (386686683).

The spelling of 340343640 in words is "three hundred forty million, three hundred forty-three thousand, six hundred forty".