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468768342 = 23719587429
BaseRepresentation
bin11011111100001…
…101011001010110
31012200001220021110
4123330031121112
51430001041332
6114303155450
714421315360
oct3374153126
91180056243
10468768342
11220675659
12110ba5b86
137616b623
1446385d30
152b2494cc
hex1bf0d656

468768342 has 32 divisors (see below), whose sum is σ = 1127865600. Its totient is φ = 126884448.

The previous prime is 468768337. The next prime is 468768367. The reversal of 468768342 is 243867864.

It is a super-2 number, since 2×4687683422 = 439487516922857928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468768291 and 468768300.

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 15 ways as a sum of consecutive naturals, for example, 292917 + ... + 294512.

It is an arithmetic number, because the mean of its divisors is an integer number (35245800).

Almost surely, 2468768342 is an apocalyptic number.

468768342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

468768342 is an abundant number, since it is smaller than the sum of its proper divisors (659097258).

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

468768342 is a wasteful number, since it uses less digits than its factorization.

468768342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587460.

The product of its digits is 1548288, while the sum is 48.

The square root of 468768342 is about 21651.0586808128. The cubic root of 468768342 is about 776.8182584201.

The spelling of 468768342 in words is "four hundred sixty-eight million, seven hundred sixty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 587429 1174858 1762287 3524574 4112003 8224006 11161151 12336009 22322302 24672018 33483453 66966906 78128057 156256114 234384171 468768342