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230321344 = 26111967257
BaseRepresentation
bin11011011101001…
…10110011000000
3121001101112111011
431232212303000
5432430240334
634504330304
75464461541
oct1556466300
9531345434
10230321344
11109012920
1265173994
1338942626
14228364c8
1515348564
hexdba6cc0

230321344 has 112 divisors (see below), whose sum is σ = 534741120. Its totient is φ = 97320960.

The previous prime is 230321327. The next prime is 230321347. The reversal of 230321344 is 443123032.

It is a happy number.

230321344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (230321347) 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, 896064 + ... + 896320.

Almost surely, 2230321344 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 230321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267370560).

230321344 is an abundant number, since it is smaller than the sum of its proper divisors (304419776).

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

230321344 is a wasteful number, since it uses less digits than its factorization.

230321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 230321344 is about 15176.3415881430. The cubic root of 230321344 is about 612.9777754344.

Adding to 230321344 its reverse (443123032), we get a palindrome (673444376).

The spelling of 230321344 in words is "two hundred thirty million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 67 76 88 134 152 176 209 257 268 304 352 418 514 536 608 704 737 836 1028 1072 1216 1273 1474 1672 2056 2144 2546 2827 2948 3344 4112 4288 4883 5092 5654 5896 6688 8224 9766 10184 11308 11792 13376 14003 16448 17219 19532 20368 22616 23584 28006 34438 39064 40736 45232 47168 53713 56012 68876 78128 81472 90464 107426 112024 137752 156256 180928 189409 214852 224048 275504 312512 327161 378818 429704 448096 551008 654322 757636 859408 896192 1102016 1308644 1515272 1718816 2617288 3030544 3437632 3598771 5234576 6061088 7197542 10469152 12122176 14395084 20938304 28790168 57580336 115160672 230321344