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234023424 = 2931511009
BaseRepresentation
bin11011111001011…
…10101000000000
3121022100121210020
431330232220000
5434402222144
635115533440
75541111015
oct1574565000
9538317706
10234023424
11110111298
126645a280
133963a6cb
142311b70c
151582a419
hexdf2ea00

234023424 has 80 divisors (see below), whose sum is σ = 628203840. Its totient is φ = 77414400.

The previous prime is 234023381. The next prime is 234023477. The reversal of 234023424 is 424320432.

234023424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234023394 and 234023403.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 231432 + ... + 232440.

It is an arithmetic number, because the mean of its divisors is an integer number (7852548).

Almost surely, 2234023424 is an apocalyptic number.

234023424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314101920).

234023424 is an abundant number, since it is smaller than the sum of its proper divisors (394180416).

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

234023424 is a wasteful number, since it uses less digits than its factorization.

234023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 234023424 is about 15297.8241590103. The cubic root of 234023424 is about 616.2445759568.

Adding to 234023424 its reverse (424320432), we get a palindrome (658343856).

The spelling of 234023424 in words is "two hundred thirty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 512 604 768 906 1009 1208 1536 1812 2018 2416 3027 3624 4036 4832 6054 7248 8072 9664 12108 14496 16144 19328 24216 28992 32288 38656 48432 57984 64576 77312 96864 115968 129152 152359 193728 231936 258304 304718 387456 457077 516608 609436 774912 914154 1218872 1549824 1828308 2437744 3656616 4875488 7313232 9750976 14626464 19501952 29252928 39003904 58505856 78007808 117011712 234023424