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466310430 = 232529533371
BaseRepresentation
bin11011110010110…
…101010100011110
31012111110000122200
4123302311110132
51423333413210
6114134352330
714361400425
oct3362652436
91174400580
10466310430
1121a246a23
121101bb6a6
13757ba941
1445d062bc
152ae110c0
hex1bcb551e

466310430 has 96 divisors (see below), whose sum is σ = 1278257760. Its totient is φ = 117761280.

The previous prime is 466310399. The next prime is 466310443. The reversal of 466310430 is 34013664.

It is a junction number, because it is equal to n+sod(n) for n = 466310394 and 466310403.

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 47 ways as a sum of consecutive naturals, for example, 136645 + ... + 140015.

It is an arithmetic number, because the mean of its divisors is an integer number (13315185).

Almost surely, 2466310430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639128880).

466310430 is an abundant number, since it is smaller than the sum of its proper divisors (811947330).

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

466310430 is a wasteful number, since it uses less digits than its factorization.

466310430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 466310430 is about 21594.2221438977. Note that the first 3 decimals coincide. The cubic root of 466310430 is about 775.4581709821.

The spelling of 466310430 in words is "four hundred sixty-six million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 53 58 87 90 106 145 159 174 261 265 290 318 435 477 522 530 795 870 954 1305 1537 1590 2385 2610 3074 3371 4611 4770 6742 7685 9222 10113 13833 15370 16855 20226 23055 27666 30339 33710 46110 50565 60678 69165 97759 101130 138330 151695 178663 195518 293277 303390 357326 488795 535989 586554 879831 893315 977590 1071978 1466385 1607967 1759662 1786630 2679945 2932770 3215934 4399155 5181227 5359890 8039835 8798310 10362454 15543681 16079670 25906135 31087362 46631043 51812270 77718405 93262086 155436810 233155215 466310430