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405742434 = 23173977867
BaseRepresentation
bin11000001011110…
…010001101100010
31001021110211222120
4120023302031202
51312332224214
6104132245110
713024516356
oct3013621542
91037424876
10405742434
11199038329
12b3a70796
13660a22a6
143bc5b466
1525949ea9
hex182f2362

405742434 has 16 divisors (see below), whose sum is σ = 859219488. Its totient is φ = 127291712.

The previous prime is 405742427. The next prime is 405742439. The reversal of 405742434 is 434247504.

It is a junction number, because it is equal to n+sod(n) for n = 405742395 and 405742404.

It is not an unprimeable number, because it can be changed into a prime (405742439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1988832 + ... + 1989035.

It is an arithmetic number, because the mean of its divisors is an integer number (53701218).

Almost surely, 2405742434 is an apocalyptic number.

405742434 is an abundant number, since it is smaller than the sum of its proper divisors (453477054).

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

405742434 is a wasteful number, since it uses less digits than its factorization.

405742434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977889.

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 405742434 is about 20143.0492726399. The cubic root of 405742434 is about 740.3154450123.

Adding to 405742434 its reverse (434247504), we get a palindrome (839989938).

The spelling of 405742434 in words is "four hundred five million, seven hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 3977867 7955734 11933601 23867202 67623739 135247478 202871217 405742434