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146342031 = 31123283101
BaseRepresentation
bin10001011100100…
…00000010001111
3101012100221112020
420232100002033
5244430421111
622304341223
73424613103
oct1056200217
9335327466
10146342031
1175673a30
1241014813
132441ac24
1415615903
15ccaa906
hex8b9008f

146342031 has 48 divisors (see below), whose sum is σ = 227428992. Its totient is φ = 82984000.

The previous prime is 146342017. The next prime is 146342083. The reversal of 146342031 is 130243641.

It is not a de Polignac number, because 146342031 - 25 = 146341999 is a prime.

It is a super-2 number, since 2×1463420312 = 42831980074409922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146341992 and 146342010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146342831) 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 47 ways as a sum of consecutive naturals, for example, 1448881 + ... + 1448981.

It is an arithmetic number, because the mean of its divisors is an integer number (4738104).

Almost surely, 2146342031 is an apocalyptic number.

146342031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146342031 is a deficient number, since it is larger than the sum of its proper divisors (81086961).

146342031 is a wasteful number, since it uses less digits than its factorization.

146342031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 146342031 is about 12097.1910375922. The cubic root of 146342031 is about 526.9746119190.

Adding to 146342031 its reverse (130243641), we get a palindrome (276585672).

The spelling of 146342031 in words is "one hundred forty-six million, three hundred forty-two thousand, thirty-one".

Divisors: 1 3 11 23 33 69 83 101 249 253 303 529 759 913 1111 1587 1909 2323 2739 3333 5727 5819 6969 8383 17457 20999 25149 25553 43907 53429 62997 76659 92213 131721 160287 192809 276639 482977 578427 587719 1448931 1763157 2120899 4434607 6362697 13303821 48780677 146342031