Search a number
-
+
146442324 = 223741101421
BaseRepresentation
bin10001011101010…
…00100001010100
3101012120001002210
420232220201110
5244442123244
622310433420
73425511360
oct1056504124
9335501083
10146442324
1175732316
1241062870
1324454782
14156402a0
15ccca4b9
hex8ba8854

146442324 has 96 divisors (see below), whose sum is σ = 404957952. Its totient is φ = 40320000.

The previous prime is 146442299. The next prime is 146442343. The reversal of 146442324 is 423244641.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146442291 and 146442300.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 347634 + ... + 348054.

It is an arithmetic number, because the mean of its divisors is an integer number (4218312).

Almost surely, 2146442324 is an apocalyptic number.

146442324 is a gapful number since it is divisible by the number (14) 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 146442324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202478976).

146442324 is an abundant number, since it is smaller than the sum of its proper divisors (258515628).

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

146442324 is a wasteful number, since it uses less digits than its factorization.

146442324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 146442324 is about 12101.3356287643. The cubic root of 146442324 is about 527.0949687645.

Adding to 146442324 its reverse (423244641), we get a palindrome (569686965).

The spelling of 146442324 in words is "one hundred forty-six million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 101 123 164 202 246 287 303 404 421 492 574 606 707 842 861 1148 1212 1263 1414 1684 1722 2121 2526 2828 2947 3444 4141 4242 5052 5894 8282 8484 8841 11788 12423 16564 17261 17682 24846 28987 34522 35364 42521 49692 51783 57974 69044 85042 86961 103566 115948 120827 127563 170084 173922 207132 241654 255126 297647 347844 362481 483308 510252 595294 724962 892941 1190588 1449924 1743361 1785882 3486722 3571764 5230083 6973444 10460166 12203527 20920332 24407054 36610581 48814108 73221162 146442324