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144450324 = 22331678009
BaseRepresentation
bin10001001110000…
…10001100010100
3101001210211121000
420213002030110
5243434402244
622200023300
73402543654
oct1047021424
9331724530
10144450324
11745a1737
1240461b30
1323c07b85
1415282364
15ca35169
hex89c2314

144450324 has 48 divisors (see below), whose sum is σ = 376790400. Its totient is φ = 47855808.

The previous prime is 144450307. The next prime is 144450347. The reversal of 144450324 is 423054441.

It is a happy number.

It is a super-2 number, since 2×1444503242 = 41731792207409952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14032 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (7849800).

Almost surely, 2144450324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144450324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188395200).

144450324 is an abundant number, since it is smaller than the sum of its proper divisors (232340076).

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

144450324 is a wasteful number, since it uses less digits than its factorization.

144450324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144450324 is about 12018.7488533541. The cubic root of 144450324 is about 524.6940911744.

The spelling of 144450324 in words is "one hundred forty-four million, four hundred fifty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2004 3006 4509 6012 8009 9018 16018 18036 24027 32036 48054 72081 96108 144162 216243 288324 432486 864972 1337503 2675006 4012509 5350012 8025018 12037527 16050036 24075054 36112581 48150108 72225162 144450324