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340145040 = 24351417271
BaseRepresentation
bin10100010001100…
…011001110010000
3212201001011021110
4110101203032100
51144034120130
653430253320
711300120334
oct2421431620
9781034243
10340145040
11165004004
1295ab7240
1355615671
14332637c4
151ecddab0
hex14463390

340145040 has 40 divisors (see below), whose sum is σ = 1054450368. Its totient is φ = 90705280.

The previous prime is 340145017. The next prime is 340145123. The reversal of 340145040 is 40541043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 340144998 and 340145016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708396 + ... + 708875.

Almost surely, 2340145040 is an apocalyptic number.

340145040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340145040 is an abundant number, since it is smaller than the sum of its proper divisors (714305328).

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

340145040 is a wasteful number, since it uses less digits than its factorization.

340145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417287 (or 1417281 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 340145040 is about 18443.0214444380. The cubic root of 340145040 is about 698.0524367904.

Adding to 340145040 its reverse (40541043), we get a palindrome (380686083).

The spelling of 340145040 in words is "three hundred forty million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1417271 2834542 4251813 5669084 7086355 8503626 11338168 14172710 17007252 21259065 22676336 28345420 34014504 42518130 56690840 68029008 85036260 113381680 170072520 340145040