Search a number
-
+
320141325 = 352741107139
BaseRepresentation
bin10011000101001…
…111100000001101
3211022101212100010
4103011033200031
51123424010300
651433423433
710635104430
oct2305174015
9738355303
10320141325
11154790a09
128b26ab79
135143064a
1430737817
151d18ba50
hex1314f80d

320141325 has 96 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 140428800.

The previous prime is 320141323. The next prime is 320141357. The reversal of 320141325 is 523141023.

It is not a de Polignac number, because 320141325 - 21 = 320141323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320141323) 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 95 ways as a sum of consecutive naturals, for example, 2303106 + ... + 2303244.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2320141325 is an apocalyptic number.

320141325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

320141325 is a deficient number, since it is larger than the sum of its proper divisors (309818355).

320141325 is a wasteful number, since it uses less digits than its factorization.

320141325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 320141325 is about 17892.4935377940. The cubic root of 320141325 is about 684.0910564971.

Adding to 320141325 its reverse (523141023), we get a palindrome (843282348).

The spelling of 320141325 in words is "three hundred twenty million, one hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 41 75 105 107 123 139 175 205 287 321 417 525 535 615 695 749 861 973 1025 1435 1605 2085 2247 2675 2919 3075 3475 3745 4305 4387 4865 5699 7175 8025 10425 11235 13161 14595 14873 17097 18725 21525 21935 24325 28495 30709 39893 44619 56175 65805 72975 74365 85485 92127 104111 109675 119679 142475 153545 199465 223095 312333 329025 371825 427425 460635 520555 598395 609793 767725 997325 1115475 1561665 1829379 2303175 2602775 2991975 3048965 4268551 7808325 9146895 12805653 15244825 21342755 45734475 64028265 106713775 320141325