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323135320 = 235173115329
BaseRepresentation
bin10011010000101…
…010011101011000
3211112000222022211
4103100222131120
51130210312240
652021524504
711002414324
oct2320523530
9745028284
10323135320
11156446392
1290273734
1351c3b341
1430cb6984
151d57dbea
hex1342a758

323135320 has 64 divisors (see below), whose sum is σ = 794707200. Its totient is φ = 117719040.

The previous prime is 323135297. The next prime is 323135321. The reversal of 323135320 is 23531323.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 323135291 and 323135300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323135321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13416 + ... + 28744.

It is an arithmetic number, because the mean of its divisors is an integer number (12417300).

Almost surely, 2323135320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397353600).

323135320 is an abundant number, since it is smaller than the sum of its proper divisors (471571880).

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

323135320 is a wasteful number, since it uses less digits than its factorization.

323135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15388 (or 15384 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 323135320 is about 17975.9650644965. The cubic root of 323135320 is about 686.2170064308.

Adding to 323135320 its reverse (23531323), we get a palindrome (346666643).

The spelling of 323135320 in words is "three hundred twenty-three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 15329 21080 30658 61316 76645 122632 153290 260593 306580 475199 521186 613160 950398 1042372 1302965 1900796 2084744 2375995 2605930 3801592 4751990 5211860 8078383 9503980 10423720 16156766 19007960 32313532 40391915 64627064 80783830 161567660 323135320