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323123104 = 25291911823
BaseRepresentation
bin10011010000100…
…111011110100000
3211112000100120101
4103100213132200
51130204414404
652021352144
711002333603
oct2320473640
9745010511
10323123104
11156438197
1290268654
1351c35905
1430cb233a
151d57a2a4
hex134277a0

323123104 has 48 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 155088640.

The previous prime is 323123089. The next prime is 323123149. The reversal of 323123104 is 401321323.

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 7 ways as a sum of consecutive naturals, for example, 176337 + ... + 178159.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2323123104 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 323123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

323123104 is an abundant number, since it is smaller than the sum of its proper divisors (338770016).

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

323123104 is a wasteful number, since it uses less digits than its factorization.

323123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 323123104 is about 17975.6252742429. The cubic root of 323123104 is about 686.2083589364.

Adding to 323123104 its reverse (401321323), we get a palindrome (724444427).

It can be divided in two parts, 3231 and 23104, that added together give a triangular number (26335 = T229).

The spelling of 323123104 in words is "three hundred twenty-three million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 191 232 382 464 764 928 1528 1823 3056 3646 5539 6112 7292 11078 14584 22156 29168 44312 52867 58336 88624 105734 177248 211468 348193 422936 696386 845872 1392772 1691744 2785544 5571088 10097597 11142176 20195194 40390388 80780776 161561552 323123104