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145440344 = 23731199421
BaseRepresentation
bin10001010101100…
…11111001011000
3101010200010122102
420222303321120
5244213042334
622233142532
73414136220
oct1052637130
9333603572
10145440344
1175108535
124085aa48
132419369a
141545d080
15cb7d67e
hex8ab3e58

145440344 has 64 divisors (see below), whose sum is σ = 324096000. Its totient is φ = 59875200.

The previous prime is 145440341. The next prime is 145440359. The reversal of 145440344 is 443044541.

145440344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145440341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345254 + ... + 345674.

It is an arithmetic number, because the mean of its divisors is an integer number (5064000).

Almost surely, 2145440344 is an apocalyptic number.

145440344 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 145440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162048000).

145440344 is an abundant number, since it is smaller than the sum of its proper divisors (178655656).

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

145440344 is a wasteful number, since it uses less digits than its factorization.

145440344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 145440344 is about 12059.8650075364. The cubic root of 145440344 is about 525.8900626597.

Adding to 145440344 its reverse (443044541), we get a palindrome (588484885).

The spelling of 145440344 in words is "one hundred forty-five million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 199 217 248 398 421 434 796 842 868 1393 1592 1684 1736 2786 2947 3368 5572 5894 6169 11144 11788 12338 13051 23576 24676 26102 43183 49352 52204 83779 86366 91357 104408 167558 172732 182714 335116 345464 365428 586453 670232 730856 1172906 2345812 2597149 4691624 5194298 10388596 18180043 20777192 36360086 72720172 145440344