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230343344 = 24711223739
BaseRepresentation
bin11011011101011…
…00001010110000
3121001102122122222
431232230022300
5432431441334
634505020212
75464612640
oct1556541260
9531378588
10230343344
11109028400
1265184668
133894c64a
1422840520
151534ed2e
hexdbac2b0

230343344 has 120 divisors (see below), whose sum is σ = 585795840. Its totient is φ = 85726080.

The previous prime is 230343331. The next prime is 230343349. The reversal of 230343344 is 443343032.

230343344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303433442 = 106116112250204672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230343349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311327 + ... + 312065.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632).

Almost surely, 2230343344 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 230343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292897920).

230343344 is an abundant number, since it is smaller than the sum of its proper divisors (355452496).

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

230343344 is a wasteful number, since it uses less digits than its factorization.

230343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

The square root of 230343344 is about 15177.0663831980. The cubic root of 230343344 is about 612.9972917639.

Adding to 230343344 its reverse (443343032), we get a palindrome (673686376).

The spelling of 230343344 in words is "two hundred thirty million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 121 154 161 176 184 242 253 308 322 368 484 506 616 644 739 847 968 1012 1232 1288 1478 1694 1771 1936 2024 2576 2783 2956 3388 3542 4048 5173 5566 5912 6776 7084 8129 10346 11132 11824 13552 14168 16258 16997 19481 20692 22264 28336 32516 33994 38962 41384 44528 56903 65032 67988 77924 82768 89419 113806 118979 130064 135976 155848 178838 186967 227612 237958 271952 311696 357676 373934 455224 475916 625933 715352 747868 910448 951832 1251866 1308769 1430704 1495736 1903664 2056637 2503732 2617538 2991472 4113274 5007464 5235076 8226548 10014928 10470152 14396459 16453096 20940304 28792918 32906192 57585836 115171672 230343344