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320214642 = 23113101397
BaseRepresentation
bin10011000101100…
…001011001110010
3211022112120220120
4103011201121302
51123433332032
651435151110
710635531246
oct2305413162
9738476816
10320214642
11154831000
128b2a5496
1351457b27
1430756426
151d1a362c
hex13161672

320214642 has 64 divisors (see below), whose sum is σ = 713190528. Its totient is φ = 95832000.

The previous prime is 320214637. The next prime is 320214659. The reversal of 320214642 is 246412023.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 806388 + ... + 806784.

It is an arithmetic number, because the mean of its divisors is an integer number (11143602).

Almost surely, 2320214642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320214642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356595264).

320214642 is an abundant number, since it is smaller than the sum of its proper divisors (392975886).

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

320214642 is a wasteful number, since it uses less digits than its factorization.

320214642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 320214642 is about 17894.5422405827. The cubic root of 320214642 is about 684.1432747642.

Adding to 320214642 its reverse (246412023), we get a palindrome (566626665).

It can be divided in two parts, 32021 and 4642, that added together give a palindrome (36663).

The spelling of 320214642 in words is "three hundred twenty million, two hundred fourteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 397 606 726 794 1111 1191 1331 2222 2382 2662 3333 3993 4367 6666 7986 8734 12221 13101 24442 26202 36663 40097 48037 73326 80194 96074 120291 134431 144111 240582 268862 288222 403293 441067 528407 806586 882134 1056814 1323201 1585221 2646402 3170442 4851737 9703474 14555211 29110422 53369107 106738214 160107321 320214642