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234390168 = 233253239257
BaseRepresentation
bin11011111100010…
…00001010011000
3121100001020212100
431332020022120
5440000441133
635131443400
75544166155
oct1576101230
9540036770
10234390168
11110341891
12665b6560
133973860c
14231b522c
151589de13
hexdf88298

234390168 has 96 divisors (see below), whose sum is σ = 652017600. Its totient is φ = 76038144.

The previous prime is 234390161. The next prime is 234390173. The reversal of 234390168 is 861093432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234390161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 911896 + ... + 912152.

It is an arithmetic number, because the mean of its divisors is an integer number (6791850).

Almost surely, 2234390168 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 234390168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326008800).

234390168 is an abundant number, since it is smaller than the sum of its proper divisors (417627432).

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

234390168 is a wasteful number, since it uses less digits than its factorization.

234390168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 234390168 is about 15309.8062691858. The cubic root of 234390168 is about 616.5663187418.

The spelling of 234390168 in words is "two hundred thirty-four million, three hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 239 257 318 424 477 478 514 636 717 771 954 956 1028 1272 1434 1542 1908 1912 2056 2151 2313 2868 3084 3816 4302 4626 5736 6168 8604 9252 12667 13621 17208 18504 25334 27242 38001 40863 50668 54484 61423 76002 81726 101336 108968 114003 122589 122846 152004 163452 184269 228006 245178 245692 304008 326904 368538 456012 490356 491384 552807 737076 912024 980712 1105614 1474152 2211228 3255419 4422456 6510838 9766257 13021676 19532514 26043352 29298771 39065028 58597542 78130056 117195084 234390168