Search a number
-
+
234043400 = 23522383613
BaseRepresentation
bin11011111001100…
…11100000001000
3121022101122012002
431330303200020
5434403342100
635120210132
75541223163
oct1574634010
9538348162
10234043400
111101252a8
1266469948
1339646826
1423124ada
15158312d5
hexdf33808

234043400 has 96 divisors (see below), whose sum is σ = 575588160. Its totient is φ = 88323840.

The previous prime is 234043393. The next prime is 234043441. The reversal of 234043400 is 4340432.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381494 + ... + 382106.

It is an arithmetic number, because the mean of its divisors is an integer number (5995710).

Almost surely, 2234043400 is an apocalyptic number.

234043400 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 234043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287794080).

234043400 is an abundant number, since it is smaller than the sum of its proper divisors (341544760).

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

234043400 is a wasteful number, since it uses less digits than its factorization.

234043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 234043400 is about 15298.4770483862. The cubic root of 234043400 is about 616.2621094601.

Adding to 234043400 its reverse (4340432), we get a palindrome (238383832).

The spelling of 234043400 in words is "two hundred thirty-four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 83 92 100 115 166 184 200 230 332 415 460 575 613 664 830 920 1150 1226 1660 1909 2075 2300 2452 3065 3320 3818 4150 4600 4904 6130 7636 8300 9545 12260 14099 15272 15325 16600 19090 24520 28198 30650 38180 47725 50879 56396 61300 70495 76360 95450 101758 112792 122600 140990 190900 203516 254395 281980 352475 381800 407032 508790 563960 704950 1017580 1170217 1271975 1409900 2035160 2340434 2543950 2819800 4680868 5087900 5851085 9361736 10175800 11702170 23404340 29255425 46808680 58510850 117021700 234043400