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234442000 = 24531371127
BaseRepresentation
bin11011111100101…
…00110100010000
3121100010212222001
431332110310100
5440004121000
635132523344
75544503242
oct1576246420
9540125861
10234442000
11110377821
1266620554
13397560a0
14231ca092
15158ae46a
hexdf94d10

234442000 has 160 divisors (see below), whose sum is σ = 623960064. Its totient is φ = 84672000.

The previous prime is 234441989. The next prime is 234442001. The reversal of 234442000 is 244432.

234442000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1845937 + ... + 1846063.

Almost surely, 2234442000 is an apocalyptic number.

234442000 is a gapful number since it is divisible by the number (20) 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 234442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032).

234442000 is an abundant number, since it is smaller than the sum of its proper divisors (389518064).

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

234442000 is a wasteful number, since it uses less digits than its factorization.

234442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 234442000 is about 15311.4989468700. The cubic root of 234442000 is about 616.6117636373.

Adding to 234442000 its reverse (244432), we get a palindrome (234686432).

It can be divided in two parts, 2344 and 42000, that added together give a palindrome (44344).

The spelling of 234442000 in words is "two hundred thirty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 71 80 100 104 125 127 130 142 200 208 250 254 260 284 325 355 400 500 508 520 568 635 650 710 923 1000 1016 1040 1136 1270 1300 1420 1625 1651 1775 1846 2000 2032 2540 2600 2840 3175 3250 3302 3550 3692 4615 5080 5200 5680 6350 6500 6604 7100 7384 8255 8875 9017 9230 10160 12700 13000 13208 14200 14768 15875 16510 17750 18034 18460 23075 25400 26000 26416 28400 31750 33020 35500 36068 36920 41275 45085 46150 50800 63500 66040 71000 72136 73840 82550 90170 92300 115375 117221 127000 132080 142000 144272 165100 180340 184600 206375 225425 230750 234442 254000 330200 360680 369200 412750 450850 461500 468884 586105 660400 721360 825500 901700 923000 937768 1127125 1172210 1651000 1803400 1846000 1875536 2254250 2344420 2930525 3302000 3606800 4508500 4688840 5861050 9017000 9377680 11722100 14652625 18034000 23444200 29305250 46888400 58610500 117221000 234442000