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234421120 = 275536911
BaseRepresentation
bin11011111100011…
…11101110000000
3121100002211022201
431332033232000
5440002433440
635132242544
75544355333
oct1576175600
9540084281
10234421120
1111036306a
1266610454
133974972b
14231c261a
15158a819a
hexdf8fb80

234421120 has 64 divisors (see below), whose sum is σ = 571069440. Its totient is φ = 91985920.

The previous prime is 234421097. The next prime is 234421127. The reversal of 234421120 is 21124432.

234421120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234421127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30465 + ... + 37375.

It is an arithmetic number, because the mean of its divisors is an integer number (8922960).

Almost surely, 2234421120 is an apocalyptic number.

234421120 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 234421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285534720).

234421120 is an abundant number, since it is smaller than the sum of its proper divisors (336648320).

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

234421120 is an equidigital number, since it uses as much as digits as its factorization.

234421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 234421120 is about 15310.8170911941. The cubic root of 234421120 is about 616.5934574239.

Adding to 234421120 its reverse (21124432), we get a palindrome (255545552).

The spelling of 234421120 in words is "two hundred thirty-four million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 6784 6911 8480 13822 16960 27644 33920 34555 55288 69110 110576 138220 221152 276440 366283 442304 552880 732566 884608 1105760 1465132 1831415 2211520 2930264 3662830 4423040 5860528 7325660 11721056 14651320 23442112 29302640 46884224 58605280 117210560 234421120