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340144240 = 24523401461
BaseRepresentation
bin10100010001100…
…011000001110000
3212201001010011211
4110101203001300
51144034103430
653430245504
711300115112
oct2421430160
9781033154
10340144240
11165003447
1295ab6894
13556151a7
14332633b2
151ecdd72a
hex14463070

340144240 has 80 divisors (see below), whose sum is σ = 829071936. Its totient is φ = 129536000.

The previous prime is 340144229. The next prime is 340144247. The reversal of 340144240 is 42441043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340144247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737610 + ... + 738070.

Almost surely, 2340144240 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 340144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414535968).

340144240 is an abundant number, since it is smaller than the sum of its proper divisors (488927696).

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

340144240 is a wasteful number, since it uses less digits than its factorization.

340144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 340144240 is about 18442.9997560050. Note that the first 3 decimals coincide. The cubic root of 340144240 is about 698.0518895314.

Adding to 340144240 its reverse (42441043), we get a palindrome (382585283).

The spelling of 340144240 in words is "three hundred forty million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 401 460 461 802 920 922 1604 1840 1844 2005 2305 3208 3688 4010 4610 6416 7376 8020 9220 9223 10603 16040 18440 18446 21206 32080 36880 36892 42412 46115 53015 73784 84824 92230 106030 147568 169648 184460 184861 212060 368920 369722 424120 737840 739444 848240 924305 1478888 1848610 2957776 3697220 4251803 7394440 8503606 14788880 17007212 21259015 34014424 42518030 68028848 85036060 170072120 340144240