Search a number
-
+
234134120 = 235113371579
BaseRepresentation
bin11011111010010…
…01101001101000
3121022120020122002
431331021221220
5434414242440
635122150132
75542051523
oct1575115150
9538506562
10234134120
11110187480
12664b2348
1339678bcc
1423149bba
151584d115
hexdf49a68

234134120 has 64 divisors (see below), whose sum is σ = 576763200. Its totient is φ = 84833280.

The previous prime is 234134111. The next prime is 234134123. The reversal of 234134120 is 21431432.

It is a super-2 number, since 2×2341341202 = 109637572296348800, which contains 22 as substring.

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 = 234134092 and 234134101.

It is not an unprimeable number, because it can be changed into a prime (234134123) 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, 147491 + ... + 149069.

It is an arithmetic number, because the mean of its divisors is an integer number (9011925).

Almost surely, 2234134120 is an apocalyptic number.

234134120 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 234134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288381600).

234134120 is an abundant number, since it is smaller than the sum of its proper divisors (342629080).

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

234134120 is a wasteful number, since it uses less digits than its factorization.

234134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 234134120 is about 15301.4417621347. The cubic root of 234134120 is about 616.3417244325.

Adding to 234134120 its reverse (21431432), we get a palindrome (255565552).

The spelling of 234134120 in words is "two hundred thirty-four million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 1348 1579 1685 2696 3158 3370 3707 6316 6740 7414 7895 12632 13480 14828 15790 17369 18535 29656 31580 34738 37070 63160 69476 74140 86845 138952 148280 173690 347380 532123 694760 1064246 2128492 2660615 4256984 5321230 5853353 10642460 11706706 21284920 23413412 29266765 46826824 58533530 117067060 234134120