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230034310 = 251121753211
BaseRepresentation
bin11011011011000…
…00101110000110
3121000211221202021
431231200232012
5432342044220
634454233354
75462154652
oct1555405606
9530757667
10230034310
11108937200
126505585a
1338871a9c
142279da62
15152dd4aa
hexdb60b86

230034310 has 96 divisors (see below), whose sum is σ = 493317216. Its totient is φ = 76876800.

The previous prime is 230034283. The next prime is 230034323. The reversal of 230034310 is 13430032.

230034310 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 2×2300343102 = 105831567554352200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090105 + ... + 1090315.

It is an arithmetic number, because the mean of its divisors is an integer number (5138721).

Almost surely, 2230034310 is an apocalyptic number.

230034310 is an abundant number, since it is smaller than the sum of its proper divisors (263282906).

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

230034310 is a wasteful number, since it uses less digits than its factorization.

230034310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 230034310 is about 15166.8820131232. The cubic root of 230034310 is about 612.7230319240.

Adding to 230034310 its reverse (13430032), we get a palindrome (243464342).

The spelling of 230034310 in words is "two hundred thirty million, thirty-four thousand, three hundred ten".

Divisors: 1 2 5 10 11 17 22 34 53 55 85 106 110 121 170 187 211 242 265 374 422 530 583 605 901 935 1055 1166 1210 1802 1870 2057 2110 2321 2915 3587 4114 4505 4642 5830 6413 7174 9010 9911 10285 11183 11605 12826 17935 19822 20570 22366 23210 25531 32065 35870 39457 49555 51062 55915 64130 78914 99110 109021 111830 123013 127655 190111 197285 218042 246026 255310 380222 394570 434027 545105 615065 868054 950555 1090210 1230130 1353143 1901110 2091221 2170135 2706286 4182442 4340270 6765715 10456105 13531430 20912210 23003431 46006862 115017155 230034310