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234274896 = 24332272389
BaseRepresentation
bin11011111011011…
…00000001010000
3121022211101202000
431331230001100
5434433244041
635125154000
75543206122
oct1575540120
9538741660
10234274896
11110273219
126655b900
13396c7ccb
1423185212
1515879bb6
hexdf6c050

234274896 has 80 divisors (see below), whose sum is σ = 675700800. Its totient is φ = 77715072.

The previous prime is 234274891. The next prime is 234274907. The reversal of 234274896 is 698472432.

234274896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234274891) 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 15 ways as a sum of consecutive naturals, for example, 96870 + ... + 99258.

It is an arithmetic number, because the mean of its divisors is an integer number (8446260).

Almost surely, 2234274896 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 234274896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337850400).

234274896 is an abundant number, since it is smaller than the sum of its proper divisors (441425904).

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

234274896 is a wasteful number, since it uses less digits than its factorization.

234274896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2621 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 234274896 is about 15306.0411602739. The cubic root of 234274896 is about 616.4652273471.

The spelling of 234274896 in words is "two hundred thirty-four million, two hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 227 432 454 681 908 1362 1816 2043 2389 2724 3632 4086 4778 5448 6129 7167 8172 9556 10896 12258 14334 16344 19112 21501 24516 28668 32688 38224 43002 49032 57336 64503 86004 98064 114672 129006 172008 258012 344016 516024 542303 1032048 1084606 1626909 2169212 3253818 4338424 4880727 6507636 8676848 9761454 13015272 14642181 19522908 26030544 29284362 39045816 58568724 78091632 117137448 234274896