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405342420 = 22357965101
BaseRepresentation
bin11000001010010…
…000100011010100
31001020201112021020
4120022100203110
51312231424140
6104115521140
713021232220
oct3012204324
91036645236
10405342420
1119889483a
12b38b91b0
1365c921b2
143bb95780
15258bb6d0
hex182908d4

405342420 has 48 divisors (see below), whose sum is σ = 1297097088. Its totient is φ = 92649600.

The previous prime is 405342361. The next prime is 405342433. The reversal of 405342420 is 24243504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482131 + ... + 482970.

It is an arithmetic number, because the mean of its divisors is an integer number (27022856).

Almost surely, 2405342420 is an apocalyptic number.

It is an amenable number.

405342420 is an abundant number, since it is smaller than the sum of its proper divisors (891754668).

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

405342420 is a wasteful number, since it uses less digits than its factorization.

405342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965120 (or 965118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 405342420 is about 20133.1174933243. The cubic root of 405342420 is about 740.0720772257.

Adding to 405342420 its reverse (24243504), we get a palindrome (429585924).

The spelling of 405342420 in words is "four hundred five million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 965101 1930202 2895303 3860404 4825505 5790606 6755707 9651010 11581212 13511414 14476515 19302020 20267121 27022828 28953030 33778535 40534242 57906060 67557070 81068484 101335605 135114140 202671210 405342420