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466344340 = 2257111747379
BaseRepresentation
bin11011110010111…
…101100110010100
31012111111202011121
4123302331212110
51423341004330
6114135213324
714361601330
oct3362754624
91174452147
10466344340
1121a26a450
12110217244
13758001c7
1445d147c0
152ae1b17a
hex1bcbd994

466344340 has 192 divisors, whose sum is σ = 1323786240. Its totient is φ = 133539840.

The previous prime is 466344317. The next prime is 466344383. The reversal of 466344340 is 43443664.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 466344296 and 466344305.

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 63 ways as a sum of consecutive naturals, for example, 1230271 + ... + 1230649.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2466344340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

466344340 is an abundant number, since it is smaller than the sum of its proper divisors (857441900).

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

466344340 is a wasteful number, since it uses less digits than its factorization.

466344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 466344340 is about 21595.0072933537. The cubic root of 466344340 is about 775.4769675801.

The spelling of 466344340 in words is "four hundred sixty-six million, three hundred forty-four thousand, three hundred forty".