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234324144 = 24331274271
BaseRepresentation
bin11011111011110…
…00000010110000
3121022220220022000
431331320002300
5434441333034
635130214000
75543502525
oct1575700260
9538826260
10234324144
111102a721a
1266584300
1339714552
142319914c
1515889599
hexdf780b0

234324144 has 80 divisors (see below), whose sum is σ = 678051840. Its totient is φ = 77474880.

The previous prime is 234324137. The next prime is 234324149. The reversal of 234324144 is 441423432.

It is a happy number.

234324144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2343241442 = 109815608922665472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234324149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52729 + ... + 56999.

It is an arithmetic number, because the mean of its divisors is an integer number (8475648).

Almost surely, 2234324144 is an apocalyptic number.

234324144 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 234324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339025920).

234324144 is an abundant number, since it is smaller than the sum of its proper divisors (443727696).

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

234324144 is a wasteful number, since it uses less digits than its factorization.

234324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4403 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 234324144 is about 15307.6498522797. The cubic root of 234324144 is about 616.5084209812.

Adding to 234324144 its reverse (441423432), we get a palindrome (675747576).

The spelling of 234324144 in words is "two hundred thirty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4271 4572 6096 6858 8542 9144 12813 13716 17084 18288 25626 27432 34168 38439 51252 54864 68336 76878 102504 115317 153756 205008 230634 307512 461268 542417 615024 922536 1084834 1627251 1845072 2169668 3254502 4339336 4881753 6509004 8678672 9763506 13018008 14645259 19527012 26036016 29290518 39054024 58581036 78108048 117162072 234324144