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405452340 = 223252252513
BaseRepresentation
bin11000001010101…
…011011000110100
31001020221010001100
4120022223120310
51312243433330
6104122130100
713022200536
oct3012533064
91036833040
10405452340
1119895a387
12b3950930
1366000237
143bbc3856
15258de060
hex182ab634

405452340 has 36 divisors (see below), whose sum is σ = 1229872644. Its totient is φ = 108120576.

The previous prime is 405452339. The next prime is 405452347. The reversal of 405452340 is 43254504.

It can be written as a sum of positive squares in 2 ways, for example, as 83393424 + 322058916 = 9132^2 + 17946^2 .

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

It is a super-2 number, since 2×4054523402 = 328783200022951200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405452347) 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 11 ways as a sum of consecutive naturals, for example, 1126077 + ... + 1126436.

It is an arithmetic number, because the mean of its divisors is an integer number (34163129).

Almost surely, 2405452340 is an apocalyptic number.

It is an amenable number.

405452340 is an abundant number, since it is smaller than the sum of its proper divisors (824420304).

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

405452340 is a wasteful number, since it uses less digits than its factorization.

405452340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252528 (or 2252523 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405452340 is about 20135.8471388715. The cubic root of 405452340 is about 740.1389683006.

The spelling of 405452340 in words is "four hundred five million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2252513 4505026 6757539 9010052 11262565 13515078 20272617 22525130 27030156 33787695 40545234 45050260 67575390 81090468 101363085 135150780 202726170 405452340