Search a number
-
+
320114322 = 233112323431
BaseRepresentation
bin10011000101001…
…000111010010010
3211022100111022000
4103011020322102
51123422124242
651433054430
710634632623
oct2305107222
9738314260
10320114322
111547726a0
128b257416
1351421278
143072ba4a
151d183a4c
hex13148e92

320114322 has 64 divisors (see below), whose sum is σ = 809809920. Its totient is φ = 92782800.

The previous prime is 320114303. The next prime is 320114323. The reversal of 320114322 is 223411023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320114295 and 320114304.

It is not an unprimeable number, because it can be changed into a prime (320114323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947 + ... + 25377.

It is an arithmetic number, because the mean of its divisors is an integer number (12653280).

Almost surely, 2320114322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320114322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404904960).

320114322 is an abundant number, since it is smaller than the sum of its proper divisors (489695598).

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

320114322 is a wasteful number, since it uses less digits than its factorization.

320114322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23476 (or 23470 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320114322 is about 17891.7389316969. The cubic root of 320114322 is about 684.0718222519.

Adding to 320114322 its reverse (223411023), we get a palindrome (543525345).

The spelling of 320114322 in words is "three hundred twenty million, one hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 23431 46862 70293 140586 210879 257741 421758 515482 538913 632637 773223 1077826 1265274 1546446 1616739 2319669 3233478 4639338 4850217 5928043 6959007 9700434 11856086 13918014 14550651 17784129 29101302 35568258 53352387 106704774 160057161 320114322