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145445328 = 2433726871
BaseRepresentation
bin10001010101101…
…01000111010000
3101010200101111000
420222311013100
5244213222303
622233222000
73414156600
oct1052650720
9333611430
10145445328
1175111256
1240861900
1324195a32
1415460c00
15cb7eda3
hex8ab51d0

145445328 has 120 divisors (see below), whose sum is σ = 485712960. Its totient is φ = 41549760.

The previous prime is 145445309. The next prime is 145445329. The reversal of 145445328 is 823544541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 145445292 and 145445301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145445329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17733 + ... + 24603.

It is an arithmetic number, because the mean of its divisors is an integer number (4047608).

Almost surely, 2145445328 is an apocalyptic number.

145445328 is a gapful number since it is divisible by the number (18) 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 145445328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242856480).

145445328 is an abundant number, since it is smaller than the sum of its proper divisors (340267632).

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

145445328 is a wasteful number, since it uses less digits than its factorization.

145445328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6883 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 145445328 is about 12060.0716415783. The cubic root of 145445328 is about 525.8960697186.

Adding to 145445328 its reverse (823544541), we get a palindrome (968989869).

The spelling of 145445328 in words is "one hundred forty-five million, four hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 6871 7056 10584 13742 20613 21168 27484 41226 48097 54968 61839 82452 96194 109936 123678 144291 164904 185517 192388 247356 288582 329808 336679 371034 384776 432873 494712 577164 673358 742068 769552 865746 989424 1010037 1154328 1298619 1346716 1484136 1731492 2020074 2308656 2597238 2693432 2968272 3030111 3462984 4040148 5194476 5386864 6060222 6925968 8080296 9090333 10388952 12120444 16160592 18180666 20777904 24240888 36361332 48481776 72722664 145445328