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230673429 = 32723767211
BaseRepresentation
bin11011011111111…
…00110000010101
3121002001102110100
431233330300111
5433023022204
634520044313
75500456200
oct1557746025
9532042410
10230673429
111092333a8
1265303699
1338a3696c
14228c8937
15153b7a39
hexdbfcc15

230673429 has 72 divisors (see below), whose sum is σ = 405925728. Its totient is φ = 125737920.

The previous prime is 230673427. The next prime is 230673439. The reversal of 230673429 is 924376032.

It is a happy number.

230673429 is a `hidden beast` number, since 2 + 306 + 7 + 342 + 9 = 666.

It is not a de Polignac number, because 230673429 - 21 = 230673427 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230673393 and 230673402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230673427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093134 + ... + 1093344.

Almost surely, 2230673429 is an apocalyptic number.

It is an amenable number.

230673429 is a deficient number, since it is larger than the sum of its proper divisors (175252299).

230673429 is a wasteful number, since it uses less digits than its factorization.

230673429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 230673429 is about 15187.9369566772. The cubic root of 230673429 is about 613.2899630315.

The spelling of 230673429 in words is "two hundred thirty million, six hundred seventy-three thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 21 37 49 63 67 111 147 201 211 259 333 441 469 603 633 777 1407 1477 1813 1899 2331 2479 3283 4221 4431 5439 7437 7807 9849 10339 13293 14137 16317 17353 22311 23421 29547 31017 42411 52059 54649 70263 93051 98959 121471 127233 156177 163947 296877 364413 382543 491841 523069 692713 890631 1093239 1147629 1569207 2078139 3442887 3661483 4707621 6234417 10984449 25630381 32953347 76891143 230673429