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153424350 = 23252367929
BaseRepresentation
bin10010010010100…
…01000111011110
3101200200202122100
421021101013132
5303234034400
623120225530
73542041212
oct1111210736
9350622570
10153424350
1179670a92
124346b2a6
1325a2a751
141653a942
15d709100
hex92511de

153424350 has 72 divisors (see below), whose sum is σ = 413768160. Its totient is φ = 40757760.

The previous prime is 153424343. The next prime is 153424351. The reversal of 153424350 is 53424351.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153424351) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 164686 + ... + 165614.

It is an arithmetic number, because the mean of its divisors is an integer number (5746780).

Almost surely, 2153424350 is an apocalyptic number.

153424350 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 153424350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206884080).

153424350 is an abundant number, since it is smaller than the sum of its proper divisors (260343810).

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

153424350 is a wasteful number, since it uses less digits than its factorization.

153424350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 153424350 is about 12386.4583315813. The cubic root of 153424350 is about 535.3421400169.

Subtracting from 153424350 its reverse (53424351), we obtain a palindrome (99999999).

The spelling of 153424350 in words is "one hundred fifty-three million, four hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 367 450 734 929 1101 1835 1858 2202 2787 3303 3670 4645 5505 5574 6606 8361 9175 9290 11010 13935 16515 16722 18350 23225 27525 27870 33030 41805 46450 55050 69675 82575 83610 139350 165150 209025 340943 418050 681886 1022829 1704715 2045658 3068487 3409430 5114145 6136974 8523575 10228290 15342435 17047150 25570725 30684870 51141450 76712175 153424350