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320400312 = 23397229601
BaseRepresentation
bin10011000110001…
…110101110111000
3211022220000121020
4103012032232320
51124010302222
651443142440
710640233461
oct2306165670
9738800536
10320400312
11154948551
128b374a20
13514c14ab
14307a3d68
151d1dd65c
hex1318ebb8

320400312 has 64 divisors (see below), whose sum is σ = 814144800. Its totient is φ = 105062400.

The previous prime is 320400307. The next prime is 320400329. The reversal of 320400312 is 213004023.

It is a junction number, because it is equal to n+sod(n) for n = 320400291 and 320400300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532812 + ... + 533412.

Almost surely, 2320400312 is an apocalyptic number.

It is an amenable number.

320400312 is an abundant number, since it is smaller than the sum of its proper divisors (493744488).

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

320400312 is a wasteful number, since it uses less digits than its factorization.

320400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 320400312 is about 17899.7293834292. The cubic root of 320400312 is about 684.2754781076.

Adding to 320400312 its reverse (213004023), we get a palindrome (533404335).

The spelling of 320400312 in words is "three hundred twenty million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 97 194 229 291 388 458 582 601 687 776 916 1164 1202 1374 1803 1832 2328 2404 2748 3606 4808 5496 7212 14424 22213 44426 58297 66639 88852 116594 133278 137629 174891 177704 233188 266556 275258 349782 412887 466376 533112 550516 699564 825774 1101032 1399128 1651548 3303096 13350013 26700026 40050039 53400052 80100078 106800104 160200156 320400312