Search a number
-
+
146482340 = 2254124357
BaseRepresentation
bin10001011101100…
…10010010100100
3101012122001222212
420232302102210
5244444413330
622311342552
73426036134
oct1056622244
9335561885
10146482340
117575a394
1241081a58
1324469a54
1415650ac4
15ccd7295
hex8bb24a4

146482340 has 36 divisors (see below), whose sum is σ = 315371028. Its totient is φ = 57150720.

The previous prime is 146482339. The next prime is 146482351. The reversal of 146482340 is 43284641.

It can be written as a sum of positive squares in 6 ways, for example, as 9498724 + 136983616 = 3082^2 + 11704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146482297 and 146482306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31442 + ... + 35798.

Almost surely, 2146482340 is an apocalyptic number.

146482340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146482340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157685514).

146482340 is an abundant number, since it is smaller than the sum of its proper divisors (168888688).

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

146482340 is a wasteful number, since it uses less digits than its factorization.

146482340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 146482340 is about 12102.9888870477. The cubic root of 146482340 is about 527.1429747207.

The spelling of 146482340 in words is "one hundred forty-six million, four hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 4357 6724 8405 8714 16810 17428 21785 33620 43570 87140 178637 357274 714548 893185 1786370 3572740 7324117 14648234 29296468 36620585 73241170 146482340