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146253378 = 233747107131
BaseRepresentation
bin10001011011110…
…10011001000010
3101012012102220210
420231322121002
5244420102003
622302414550
73424063455
oct1055723102
9335172823
10146253378
1175613367
1240b91456
13243b977b
14155d149c
15cc8e503
hex8b7a642

146253378 has 64 divisors (see below), whose sum is σ = 312035328. Its totient is φ = 45639360.

The previous prime is 146253377. The next prime is 146253379. The reversal of 146253378 is 873352641.

146253378 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146253377) and next prime (146253379).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146253377) 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 31 ways as a sum of consecutive naturals, for example, 1116373 + ... + 1116503.

It is an arithmetic number, because the mean of its divisors is an integer number (4875552).

Almost surely, 2146253378 is an apocalyptic number.

146253378 is an abundant number, since it is smaller than the sum of its proper divisors (165781950).

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

146253378 is a wasteful number, since it uses less digits than its factorization.

146253378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its digits is 120960, while the sum is 39.

The square root of 146253378 is about 12093.5262847525. The cubic root of 146253378 is about 526.8681778870.

The spelling of 146253378 in words is "one hundred forty-six million, two hundred fifty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 37 47 74 94 107 111 131 141 214 222 262 282 321 393 642 786 1739 3478 3959 4847 5029 5217 6157 7918 9694 10058 10434 11877 12314 14017 14541 15087 18471 23754 28034 29082 30174 36942 42051 84102 186073 227809 372146 455618 518629 558219 658799 683427 1037258 1116438 1317598 1366854 1555887 1976397 3111774 3952794 24375563 48751126 73126689 146253378