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340007040 = 2732559029
BaseRepresentation
bin10100010001000…
…001100010000000
3212200210010222100
4110101001202000
51144020211130
653423310400
711266004112
oct2421014200
9780703870
10340007040
11164a1a35a
1295a4b400
13555978c9
14332293b2
151ecb2c60
hex14441880

340007040 has 96 divisors (see below), whose sum is σ = 1174106700. Its totient is φ = 90667008.

The previous prime is 340007027. The next prime is 340007047. The reversal of 340007040 is 40700043.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 23736384 = 17784^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (340007047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23755 + ... + 35274.

Almost surely, 2340007040 is an apocalyptic number.

340007040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340007040 is an abundant number, since it is smaller than the sum of its proper divisors (834099660).

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

340007040 is a wasteful number, since it uses less digits than its factorization.

340007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59054 (or 59039 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 340007040 is about 18439.2798124005. The cubic root of 340007040 is about 697.9580219033.

Adding to 340007040 its reverse (40700043), we get a palindrome (380707083).

The spelling of 340007040 in words is "three hundred forty million, seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 59029 118058 177087 236116 295145 354174 472232 531261 590290 708348 885435 944464 1062522 1180580 1416696 1770870 1888928 2125044 2361160 2656305 2833392 3541740 3777856 4250088 4722320 5312610 5666784 7083480 7555712 8500176 9444640 10625220 11333568 14166960 17000352 18889280 21250440 22667136 28333920 34000704 37778560 42500880 56667840 68001408 85001760 113335680 170003520 340007040