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400461340 = 225611492203
BaseRepresentation
bin10111110111101…
…000111000011100
31000220112112200111
4113313220320130
51310004230330
6103423135404
712631602526
oct2767507034
91026475614
10400461340
11196060594
12b2144564
1364c73596
143b284a16
152525532a
hex17de8e1c

400461340 has 48 divisors (see below), whose sum is σ = 860882400. Its totient is φ = 156430080.

The previous prime is 400461329. The next prime is 400461389. The reversal of 400461340 is 43164004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180679 + ... + 182881.

It is an arithmetic number, because the mean of its divisors is an integer number (17935050).

Almost surely, 2400461340 is an apocalyptic number.

It is an amenable number.

400461340 is an abundant number, since it is smaller than the sum of its proper divisors (460421060).

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

400461340 is a wasteful number, since it uses less digits than its factorization.

400461340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 400461340 is about 20011.5301763758. The cubic root of 400461340 is about 737.0894560784.

The spelling of 400461340 in words is "four hundred million, four hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 149 244 298 305 596 610 745 1220 1490 2203 2980 4406 8812 9089 11015 18178 22030 36356 44060 45445 90890 134383 181780 268766 328247 537532 656494 671915 1312988 1343830 1641235 2687660 3282470 6564940 20023067 40046134 80092268 100115335 200230670 400461340