Search a number
-
+
144324928 = 2611218637
BaseRepresentation
bin10001001101000…
…11100101000000
3101001120110120201
420212203211000
5243421344203
622153214544
73401512246
oct1046434500
9331513521
10144324928
1174516500
1240401454
1323b92a87
141524c796
15ca0ce1d
hex89a3940

144324928 has 42 divisors (see below), whose sum is σ = 314814458. Its totient is φ = 65598720.

The previous prime is 144324923. The next prime is 144324941. The reversal of 144324928 is 829423441.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 68425984 = 8712^2 + 8272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144324923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1575 + ... + 17062.

Almost surely, 2144324928 is an apocalyptic number.

It is an amenable number.

144324928 is an abundant number, since it is smaller than the sum of its proper divisors (170489530).

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

144324928 is a wasteful number, since it uses less digits than its factorization.

144324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18671 (or 18650 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 144324928 is about 12013.5310379588. The cubic root of 144324928 is about 524.5422198455.

The spelling of 144324928 in words is "one hundred forty-four million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 18637 37274 74548 149096 205007 298192 410014 596384 820028 1192768 1640056 2255077 3280112 4510154 6560224 9020308 13120448 18040616 36081232 72162464 144324928