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405354540 = 22356755909
BaseRepresentation
bin11000001010010…
…011100000101100
31001020202010220010
4120022103200230
51312232321130
6104120053220
713021312443
oct3012234054
91036663803
10405354540
111988a2958
12b3904210
1365c97876
143bb99d5a
15258c00b0
hex1829382c

405354540 has 24 divisors (see below), whose sum is σ = 1134992880. Its totient is φ = 108094528.

The previous prime is 405354533. The next prime is 405354559. The reversal of 405354540 is 45453504.

It is a super-2 number, since 2×4053545402 = 328624606197223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 405354498 and 405354507.

It is an unprimeable number.

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, 3377895 + ... + 3378014.

It is an arithmetic number, because the mean of its divisors is an integer number (47291370).

Almost surely, 2405354540 is an apocalyptic number.

It is an amenable number.

405354540 is an abundant number, since it is smaller than the sum of its proper divisors (729638340).

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

405354540 is a wasteful number, since it uses less digits than its factorization.

405354540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755921 (or 6755919 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 405354540 is about 20133.4184876786. The cubic root of 405354540 is about 740.0794533632.

The spelling of 405354540 in words is "four hundred five million, three hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6755909 13511818 20267727 27023636 33779545 40535454 67559090 81070908 101338635 135118180 202677270 405354540