Search a number
-
+
146083284 = 22333143633
BaseRepresentation
bin10001011010100…
…00110111010100
3101011212210121000
420231100313110
5244344131114
622255023300
73422454534
oct1055206724
9334783530
10146083284
1175507596
1240b0ab30
132435a219
14155894c4
15cc58e09
hex8b50dd4

146083284 has 48 divisors (see below), whose sum is σ = 390960640. Its totient is φ = 47122560.

The previous prime is 146083277. The next prime is 146083291. The reversal of 146083284 is 482380641.

146083284 is a `hidden beast` number, since 14 + 608 + 32 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (146083277) and next prime (146083291).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18469 + ... + 25164.

Almost surely, 2146083284 is an apocalyptic number.

It is an amenable number.

146083284 is an abundant number, since it is smaller than the sum of its proper divisors (244877356).

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

146083284 is a wasteful number, since it uses less digits than its factorization.

146083284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43677 (or 43669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 146083284 is about 12086.4917986982. The cubic root of 146083284 is about 526.6638478369.

The spelling of 146083284 in words is "one hundred forty-six million, eighty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 43633 87266 130899 174532 261798 392697 523596 785394 1178091 1352623 1570788 2356182 2705246 4057869 4712364 5410492 8115738 12173607 16231476 24347214 36520821 48694428 73041642 146083284