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320445234 = 23437193277
BaseRepresentation
bin10011000110011…
…001101100110010
3211022222022020000
4103012121230302
51124013221414
651444130430
710640511444
oct2306315462
9738868200
10320445234
1115497927a
128b396a16
1351508a85
14307b6494
151d1ebb09
hex13199b32

320445234 has 80 divisors (see below), whose sum is σ = 743938008. Its totient is φ = 103016448.

The previous prime is 320445227. The next prime is 320445239. The reversal of 320445234 is 432544023.

320445234 is a `hidden beast` number, since 3 + 204 + 452 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 252333225 + 68112009 = 15885^2 + 8253^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320445198 and 320445207.

It is not an unprimeable number, because it can be changed into a prime (320445239) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1156704 + ... + 1156980.

Almost surely, 2320445234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320445234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371969004).

320445234 is an abundant number, since it is smaller than the sum of its proper divisors (423492774).

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

320445234 is a wasteful number, since it uses less digits than its factorization.

320445234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 320445234 is about 17900.9841628889. The cubic root of 320445234 is about 684.3074564228.

Adding to 320445234 its reverse (432544023), we get a palindrome (752989257).

The spelling of 320445234 in words is "three hundred twenty million, four hundred forty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 193 222 277 333 386 554 579 666 831 999 1158 1662 1737 1998 2493 2997 3474 4986 5211 5994 7141 7479 10249 10422 14282 14958 15633 20498 21423 22437 30747 31266 42846 44874 53461 61494 64269 92241 106922 128538 160383 184482 192807 276723 320766 385614 481149 553446 578421 830169 962298 1156842 1443447 1660338 1978057 2886894 3956114 4330341 5934171 8660682 11868342 17802513 35605026 53407539 106815078 160222617 320445234