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145041344 = 2672631231
BaseRepresentation
bin10001010010100…
…10011111000000
3101002220212022122
420221102133000
5244112310334
622220423412
73410555030
oct1051223700
9332825278
10145041344
1174965788
12406a7b68
1324083ba6
14153978c0
15cb0032e
hex8a527c0

145041344 has 56 divisors (see below), whose sum is σ = 330451968. Its totient is φ = 61873920.

The previous prime is 145041329. The next prime is 145041371. The reversal of 145041344 is 443140541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 117209 + ... + 118439.

It is an arithmetic number, because the mean of its divisors is an integer number (5900928).

Almost surely, 2145041344 is an apocalyptic number.

145041344 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 145041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165225984).

145041344 is an abundant number, since it is smaller than the sum of its proper divisors (185410624).

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

145041344 is a wasteful number, since it uses less digits than its factorization.

145041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 145041344 is about 12043.3111725970. The cubic root of 145041344 is about 525.4087145358.

Adding to 145041344 its reverse (443140541), we get a palindrome (588181885).

The spelling of 145041344 in words is "one hundred forty-five million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1231 1841 2104 2462 3682 4208 4924 7364 8416 8617 9848 14728 16832 17234 19696 29456 34468 39392 58912 68936 78784 117824 137872 275744 323753 551488 647506 1295012 2266271 2590024 4532542 5180048 9065084 10360096 18130168 20720192 36260336 72520672 145041344