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145333344 = 253131011153
BaseRepresentation
bin10001010100110…
…01110001100000
3101010110200212110
420222121301200
5244201131334
622230555320
73413212242
oct1052316140
9333420773
10145333344
1175045102
1240808b40
1324156a80
1415432092
15cb5bae9
hex8a99c60

145333344 has 96 divisors (see below), whose sum is σ = 415273824. Its totient is φ = 44236800.

The previous prime is 145333319. The next prime is 145333361. The reversal of 145333344 is 443333541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1453333442 = 42243561756444672, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 125472 + ... + 126624.

It is an arithmetic number, because the mean of its divisors is an integer number (4325769).

Almost surely, 2145333344 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 145333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207636912).

145333344 is an abundant number, since it is smaller than the sum of its proper divisors (269940480).

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

145333344 is a wasteful number, since it uses less digits than its factorization.

145333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 145333344 is about 12055.4279890844. The cubic root of 145333344 is about 525.7610658030.

Adding to 145333344 its reverse (443333541), we get a palindrome (588666885).

The spelling of 145333344 in words is "one hundred forty-five million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 202 208 303 312 404 416 606 624 808 1153 1212 1248 1313 1616 2306 2424 2626 3232 3459 3939 4612 4848 5252 6918 7878 9224 9696 10504 13836 14989 15756 18448 21008 27672 29978 31512 36896 42016 44967 55344 59956 63024 89934 110688 116453 119912 126048 179868 232906 239824 349359 359736 465812 479648 698718 719472 931624 1397436 1438944 1513889 1863248 2794872 3027778 3726496 4541667 5589744 6055556 9083334 11179488 12111112 18166668 24222224 36333336 48444448 72666672 145333344