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340072005 = 35721335591
BaseRepresentation
bin10100010001010…
…001011001000101
3212200220110002110
4110101101121011
51144024301010
653424531233
711266364400
oct2421213105
9780813073
10340072005
11164a64149
1295a80b19
13555bb350
1433244d37
151ecc7120
hex14451645

340072005 has 48 divisors (see below), whose sum is σ = 681657984. Its totient is φ = 143498880.

The previous prime is 340072003. The next prime is 340072039. The reversal of 340072005 is 500270043.

It is a happy number.

It is not a de Polignac number, because 340072005 - 21 = 340072003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340072003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8241 + ... + 27350.

It is an arithmetic number, because the mean of its divisors is an integer number (14201208).

Almost surely, 2340072005 is an apocalyptic number.

340072005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

340072005 is an abundant number, since it is smaller than the sum of its proper divisors (341585979).

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

340072005 is a wasteful number, since it uses less digits than its factorization.

340072005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35626 (or 35619 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 340072005 is about 18441.0413209233. The cubic root of 340072005 is about 698.0024719195.

The spelling of 340072005 in words is "three hundred forty million, seventy-two thousand, five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 35591 106773 177955 249137 462683 533865 747411 1245685 1388049 1743959 2313415 3238781 3737055 5231877 6940245 8719795 9716343 16193905 22671467 26159385 48581715 68014401 113357335 340072005