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230800704 = 26317312281
BaseRepresentation
bin11011100000110…
…11110101000000
3121002021220001020
431300123311000
5433041110304
634522505440
75501526231
oct1560336500
9532256036
10230800704
1110930aa92
1265365280
1338a7c884
142291d088
15153e05d9
hexdc1bd40

230800704 has 112 divisors (see below), whose sum is σ = 667731456. Its totient is φ = 70041600.

The previous prime is 230800693. The next prime is 230800711. The reversal of 230800704 is 407008032.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 100044 + ... + 102324.

It is an arithmetic number, because the mean of its divisors is an integer number (5961888).

Almost surely, 2230800704 is an apocalyptic number.

230800704 is a gapful number since it is divisible by the number (24) 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 230800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333865728).

230800704 is an abundant number, since it is smaller than the sum of its proper divisors (436930752).

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

230800704 is a wasteful number, since it uses less digits than its factorization.

230800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 230800704 is about 15192.1263817808. The cubic root of 230800704 is about 613.4027373676.

Adding to 230800704 its reverse (407008032), we get a palindrome (637808736).

The spelling of 230800704 in words is "two hundred thirty million, eight hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2281 2976 3162 3264 4216 4562 5952 6324 6843 8432 9124 12648 13686 16864 18248 25296 27372 33728 36496 38777 50592 54744 70711 72992 77554 101184 109488 116331 141422 145984 155108 212133 218976 232662 282844 310216 424266 437952 465324 565688 620432 848532 930648 1131376 1202087 1240864 1697064 1861296 2262752 2404174 2481728 3394128 3606261 3722592 4525504 4808348 6788256 7212522 7445184 9616696 13576512 14425044 19233392 28850088 38466784 57700176 76933568 115400352 230800704