Search a number
-
+
234401420 = 225112414421
BaseRepresentation
bin11011111100010…
…10111010001100
3121100001211022002
431332022322030
5440001321140
635132011432
75544244031
oct1576127214
9540054262
10234401420
1111034a290
1266600b78
1339740786
14231b9388
15158a2415
hexdf8ae8c

234401420 has 48 divisors (see below), whose sum is σ = 539342496. Its totient is φ = 84864000.

The previous prime is 234401417. The next prime is 234401449. The reversal of 234401420 is 24104432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 234401392 and 234401401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50810 + ... + 55230.

It is an arithmetic number, because the mean of its divisors is an integer number (11236302).

Almost surely, 2234401420 is an apocalyptic number.

234401420 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 234401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269671248).

234401420 is an abundant number, since it is smaller than the sum of its proper divisors (304941076).

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

234401420 is a wasteful number, since it uses less digits than its factorization.

234401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234401420 is about 15310.1737416660. The cubic root of 234401420 is about 616.5761847603.

Adding to 234401420 its reverse (24104432), we get a palindrome (258505852).

The spelling of 234401420 in words is "two hundred thirty-four million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4421 4820 5302 8842 10604 13255 17684 22105 26510 44210 48631 53020 88420 97262 194524 243155 486310 972620 1065461 2130922 4261844 5327305 10654610 11720071 21309220 23440142 46880284 58600355 117200710 234401420