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465473340 = 223252585963
BaseRepresentation
bin11011101111101…
…000111100111100
31012102212111101100
4123233220330330
51423130121330
6114104413100
714351313063
oct3357507474
91172774340
10465473340
11219825012
1210ba77190
1375586917
1445b691da
152ace8060
hex1bbe8f3c

465473340 has 36 divisors (see below), whose sum is σ = 1411936344. Its totient is φ = 124126176.

The previous prime is 465473299. The next prime is 465473341. The reversal of 465473340 is 43374564.

It is a happy number.

465473340 is a `hidden beast` number, since 46 + 547 + 33 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 465473295 and 465473304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465473341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292802 + ... + 1293161.

It is an arithmetic number, because the mean of its divisors is an integer number (39220454).

Almost surely, 2465473340 is an apocalyptic number.

It is an amenable number.

465473340 is an abundant number, since it is smaller than the sum of its proper divisors (946463004).

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

465473340 is a wasteful number, since it uses less digits than its factorization.

465473340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585978 (or 2585973 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 465473340 is about 21574.8311696755. The cubic root of 465473340 is about 774.9938757754.

The spelling of 465473340 in words is "four hundred sixty-five million, four hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2585963 5171926 7757889 10343852 12929815 15515778 23273667 25859630 31031556 38789445 46547334 51719260 77578890 93094668 116368335 155157780 232736670 465473340