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146084433 = 31143110271
BaseRepresentation
bin10001011010100…
…01001001010001
3101011212212011120
420231101021101
5244344200213
622255032453
73422461065
oct1055211121
9334785146
10146084433
1175508440
1240b0b729
132435a8c1
1415589aa5
15cc59423
hex8b51251

146084433 has 16 divisors (see below), whose sum is σ = 213000192. Its totient is φ = 88322000.

The previous prime is 146084381. The next prime is 146084441. The reversal of 146084433 is 334480641.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 146084433 - 222 = 141890129 is a prime.

It is a super-3 number, since 3×1460844333 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146084394 and 146084403.

It is not an unprimeable number, because it can be changed into a prime (146084443) 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 15 ways as a sum of consecutive naturals, for example, 9088 + ... + 19358.

It is an arithmetic number, because the mean of its divisors is an integer number (13312512).

Almost surely, 2146084433 is an apocalyptic number.

It is an amenable number.

146084433 is a deficient number, since it is larger than the sum of its proper divisors (66915759).

146084433 is a wasteful number, since it uses less digits than its factorization.

146084433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 146084433 is about 12086.5393310079. The cubic root of 146084433 is about 526.6652286364.

The spelling of 146084433 in words is "one hundred forty-six million, eighty-four thousand, four hundred thirty-three".

Divisors: 1 3 11 33 431 1293 4741 10271 14223 30813 112981 338943 4426801 13280403 48694811 146084433