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234543232 = 2771153449
BaseRepresentation
bin11011111101011…
…01100010000000
3121100100000211101
431332231202000
5440020340412
635135024144
75545404340
oct1576554200
9540300741
10234543232
11110436890
126666b054
13397901a1
1423214d20
15158ce457
hexdfad880

234543232 has 128 divisors (see below), whose sum is σ = 594864000. Its totient is φ = 89456640.

The previous prime is 234543229. The next prime is 234543293. The reversal of 234543232 is 232345432.

234543232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

234543232 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 234543232.

It is a congruent number.

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, 522144 + ... + 522592.

It is an arithmetic number, because the mean of its divisors is an integer number (4647375).

Almost surely, 2234543232 is an apocalyptic number.

234543232 is a gapful number since it is divisible by the number (22) 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 234543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297432000).

234543232 is an abundant number, since it is smaller than the sum of its proper divisors (360320768).

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

234543232 is a wasteful number, since it uses less digits than its factorization.

234543232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its digits is 17280, while the sum is 28.

The square root of 234543232 is about 15314.8043408984. The cubic root of 234543232 is about 616.7005018039.

Adding to 234543232 its reverse (232345432), we get a palindrome (466888664).

The spelling of 234543232 in words is "two hundred thirty-four million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 128 154 176 212 224 308 352 371 424 448 449 583 616 704 742 848 896 898 1166 1232 1408 1484 1696 1796 2332 2464 2968 3143 3392 3592 4081 4664 4928 4939 5936 6286 6784 7184 8162 9328 9856 9878 11872 12572 14368 16324 18656 19756 23744 23797 25144 28736 32648 34573 37312 39512 47488 47594 50288 57472 65296 69146 74624 79024 95188 100576 130592 138292 158048 166579 190376 201152 261184 261767 276584 316096 333158 380752 402304 522368 523534 553168 632192 666316 761504 1047068 1106336 1332632 1523008 1832369 2094136 2212672 2665264 3046016 3664738 4188272 4425344 5330528 7329476 8376544 10661056 14658952 16753088 21322112 29317904 33506176 58635808 117271616 234543232