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320343023 = 71121347619
BaseRepresentation
bin10011000110000…
…000101111101111
3211022210010000102
4103012000233233
51124001434043
651442021315
710636604450
oct2306005757
9738703012
10320343023
11154909500
128b34783b
13514a13b0
143078b127
151d1cb6b8
hex13180bef

320343023 has 48 divisors (see below), whose sum is σ = 443304960. Its totient is φ = 225149760.

The previous prime is 320343007. The next prime is 320343061.

320343023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320343023 - 24 = 320343007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320342986 and 320343004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320313023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517208 + ... + 517826.

It is an arithmetic number, because the mean of its divisors is an integer number (9235520).

Almost surely, 2320343023 is an apocalyptic number.

320343023 is a deficient number, since it is larger than the sum of its proper divisors (122961937).

320343023 is a wasteful number, since it uses less digits than its factorization.

320343023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 320343023 is about 17898.1290362987. The cubic root of 320343023 is about 684.2346918442.

It can be divided in two parts, 320 and 343023, that added together give a palindrome (343343).

The spelling of 320343023 in words is "three hundred twenty million, three hundred forty-three thousand, twenty-three".

Divisors: 1 7 11 13 47 77 91 121 143 329 517 611 619 847 1001 1573 3619 4277 4333 5687 6721 6809 8047 11011 29093 39809 47047 47663 56329 73931 74899 88517 203651 320023 378209 517517 524293 619619 973687 2240161 2647463 3520253 4160299 6815809 24641771 29122093 45763289 320343023