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234481392 = 24376701
BaseRepresentation
bin11011111100111…
…10011011110000
3121100012220000000
431332132123300
5440011401032
635133430000
75545026135
oct1576363360
9540186000
10234481392
111103a4382
126663b300
133976acb2
14231da58c
15158bae7c
hexdf9e6f0

234481392 has 80 divisors (see below), whose sum is σ = 681459360. Its totient is φ = 78148800.

The previous prime is 234481367. The next prime is 234481397. The reversal of 234481392 is 293184432.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234481397) 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, 31642 + ... + 38342.

It is an arithmetic number, because the mean of its divisors is an integer number (8518242).

Almost surely, 2234481392 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 234481392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340729680).

234481392 is an abundant number, since it is smaller than the sum of its proper divisors (446977968).

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

234481392 is an frugal number, since it uses more digits than its factorization.

234481392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6706 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 234481392 is about 15312.7852463228. The cubic root of 234481392 is about 616.6462969978.

The spelling of 234481392 in words is "two hundred thirty-four million, four hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6701 8748 11664 13402 17496 20103 26804 34992 40206 53608 60309 80412 107216 120618 160824 180927 241236 321648 361854 482472 542781 723708 964944 1085562 1447416 1628343 2171124 2894832 3256686 4342248 4885029 6513372 8684496 9770058 13026744 14655087 19540116 26053488 29310174 39080232 58620348 78160464 117240696 234481392