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42314319 = 352367113
BaseRepresentation
bin1010000101101…
…0101001001111
32221121210100000
42201122221033
541313024234
64110535343
71022444235
oct241325117
987553300
1042314319
1121981413
1212207553
1389c7078
145896955
153aac899
hex285aa4f

42314319 has 48 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 26345088.

The previous prime is 42314303. The next prime is 42314329. The reversal of 42314319 is 91341324.

42314319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42314319 - 24 = 42314303 is a prime.

It is a super-2 number, since 2×423143192 = 3581003184867522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 42314292 and 42314301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 374407 + ... + 374519.

It is an arithmetic number, because the mean of its divisors is an integer number (1410864).

Almost surely, 242314319 is an apocalyptic number.

42314319 is a deficient number, since it is larger than the sum of its proper divisors (25407153).

42314319 is a wasteful number, since it uses less digits than its factorization.

42314319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 42314319 is about 6504.9457338244. The cubic root of 42314319 is about 348.4676382559.

The spelling of 42314319 in words is "forty-two million, three hundred fourteen thousand, three hundred nineteen".

Divisors: 1 3 9 23 27 67 69 81 113 201 207 243 339 603 621 1017 1541 1809 1863 2599 3051 4623 5427 5589 7571 7797 9153 13869 16281 22713 23391 27459 41607 68139 70173 124821 174133 204417 210519 374463 522399 613251 631557 1567197 1839753 4701591 14104773 42314319