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340041008 = 24297310039
BaseRepresentation
bin10100010001001…
…001110100110000
3212200211212120102
4110101021310300
51144022303013
653424131532
711266205126
oct2421116460
9780755512
10340041008
11164a4292a
1295a66ba8
13555aa1c8
1433237916
151ecbcd58
hex14449d30

340041008 has 40 divisors (see below), whose sum is σ = 690952800. Its totient is φ = 161892864.

The previous prime is 340041001. The next prime is 340041019. The reversal of 340041008 is 800140043.

It is not an unprimeable number, because it can be changed into a prime (340041001) 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 7 ways as a sum of consecutive naturals, for example, 28853 + ... + 38891.

It is an arithmetic number, because the mean of its divisors is an integer number (17273820).

Almost surely, 2340041008 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 340041008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345476400).

340041008 is an abundant number, since it is smaller than the sum of its proper divisors (350911792).

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

340041008 is a wasteful number, since it uses less digits than its factorization.

340041008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 340041008 is about 18440.2008665849. The cubic root of 340041008 is about 697.9812640187.

The spelling of 340041008 in words is "three hundred forty million, forty-one thousand, eight".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 584 1168 2117 4234 8468 10039 16936 20078 33872 40156 80312 160624 291131 582262 732847 1164524 1465694 2329048 2931388 4658096 5862776 11725552 21252563 42505126 85010252 170020504 340041008