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230310976 = 26722712
BaseRepresentation
bin11011011101001…
…00010001000000
3121001101000021011
431232210101000
5432424422401
634504210304
75464416400
oct1556442100
9531330234
10230310976
11109006055
1265169994
133893a9ac
1422832800
1515345451
hexdba4440

230310976 has 63 divisors (see below), whose sum is σ = 533608407. Its totient is φ = 98340480.

The previous prime is 230310943. The next prime is 230310979. The reversal of 230310976 is 679013032.

The square root of 230310976 is 15176.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230310979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 849721 + ... + 849991.

Almost surely, 2230310976 is an apocalyptic number.

230310976 is the 15176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230310976

230310976 is an abundant number, since it is smaller than the sum of its proper divisors (303297431).

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

230310976 is an frugal number, since it uses more digits than its factorization.

230310976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The cubic root of 230310976 is about 612.9685774898.

The spelling of 230310976 in words is "two hundred thirty million, three hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 271 392 448 542 784 1084 1568 1897 2168 3136 3794 4336 7588 8672 13279 15176 17344 26558 30352 53116 60704 73441 106232 121408 146882 212464 293764 424928 514087 587528 849856 1028174 1175056 2056348 2350112 3598609 4112696 4700224 7197218 8225392 14394436 16450784 28788872 32901568 57577744 115155488 230310976