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464342000 = 2453232171
BaseRepresentation
bin11011101011010…
…100101111110000
31012100202000110212
4123223110233300
51422332421000
6114024243252
714335561523
oct3353245760
91170660425
10464342000
11219122021
1210b610528
137527b9a5
1445952bba
152ab72c35
hex1bad4bf0

464342000 has 40 divisors (see below), whose sum is σ = 1122783792. Its totient is φ = 185736000.

The previous prime is 464341949. The next prime is 464342069. The reversal of 464342000 is 243464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4643420002 = 431226985928000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 114086 + ... + 118085.

Almost surely, 2464342000 is an apocalyptic number.

464342000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464342000 is an abundant number, since it is smaller than the sum of its proper divisors (658441792).

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

464342000 is a wasteful number, since it uses less digits than its factorization.

464342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232194 (or 232178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 464342000 is about 21548.5962419829. The cubic root of 464342000 is about 774.3654882822.

Adding to 464342000 its reverse (243464), we get a palindrome (464585464).

The spelling of 464342000 in words is "four hundred sixty-four million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 232171 464342 928684 1160855 1857368 2321710 3714736 4643420 5804275 9286840 11608550 18573680 23217100 29021375 46434200 58042750 92868400 116085500 232171000 464342000