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145434450 = 23527247421
BaseRepresentation
bin10001010101100…
…10011101010010
3101010122211120010
420222302131102
5244212400300
622233055350
73414113100
oct1052623522
9333584503
10145434450
1175104067
1240857556
1324190ab5
141545ac70
15cb7ba50
hex8ab2752

145434450 has 144 divisors (see below), whose sum is σ = 429508224. Its totient is φ = 32457600.

The previous prime is 145434437. The next prime is 145434463. The reversal of 145434450 is 54434541.

It is an interprime number because it is at equal distance from previous prime (145434437) and next prime (145434463).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345240 + ... + 345660.

It is an arithmetic number, because the mean of its divisors is an integer number (2982696).

Almost surely, 2145434450 is an apocalyptic number.

145434450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145434450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214754112).

145434450 is an abundant number, since it is smaller than the sum of its proper divisors (284073774).

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

145434450 is a wasteful number, since it uses less digits than its factorization.

145434450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 145434450 is about 12059.6206407996. The cubic root of 145434450 is about 525.8829586292.

Adding to 145434450 its reverse (54434541), we get a palindrome (199868991).

Subtracting from 145434450 its reverse (54434541), we obtain a palindrome (90999909).

The spelling of 145434450 in words is "one hundred forty-five million, four hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 49 50 70 75 94 98 105 141 147 150 175 210 235 245 282 294 329 350 421 470 490 525 658 705 735 842 987 1050 1175 1225 1263 1410 1470 1645 1974 2105 2303 2350 2450 2526 2947 3290 3525 3675 4210 4606 4935 5894 6315 6909 7050 7350 8225 8841 9870 10525 11515 12630 13818 14735 16450 17682 19787 20629 21050 23030 24675 29470 31575 34545 39574 41258 44205 49350 57575 59361 61887 63150 69090 73675 88410 98935 103145 115150 118722 123774 138509 147350 172725 197870 206290 221025 277018 296805 309435 345450 415527 442050 494675 515725 593610 618870 692545 831054 969563 989350 1031450 1385090 1484025 1547175 1939126 2077635 2908689 2968050 3094350 3462725 4155270 4847815 5817378 6925450 9695630 10388175 14543445 20776350 24239075 29086890 48478150 72717225 145434450