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323214768 = 24322324243
BaseRepresentation
bin10011010000111…
…101110110110000
3211112012000022100
4103100331312300
51130220333033
652023340400
711003165052
oct2320756660
9745160270
10323214768
111564a0048
12902b1700
1351c68556
1430cd78d2
151d597513
hex1343ddb0

323214768 has 90 divisors (see below), whose sum is σ = 945813596. Its totient is φ = 103029696.

The previous prime is 323214763. The next prime is 323214769. The reversal of 323214768 is 867412323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (323214763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74055 + ... + 78297.

Almost surely, 2323214768 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 323214768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472906798).

323214768 is an abundant number, since it is smaller than the sum of its proper divisors (622598828).

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

323214768 is a wasteful number, since it uses less digits than its factorization.

323214768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4271 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 323214768 is about 17978.1747683128. The cubic root of 323214768 is about 686.2732409739.

The spelling of 323214768 in words is "three hundred twenty-three million, two hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 4232 4243 4761 6348 8464 8486 9522 12696 12729 16972 19044 25392 25458 33944 38088 38187 50916 67888 76176 76374 97589 101832 152748 195178 203664 292767 305496 390356 585534 610992 780712 878301 1171068 1561424 1756602 2244547 2342136 3513204 4489094 4684272 6733641 7026408 8978188 13467282 14052816 17956376 20200923 26934564 35912752 40401846 53869128 80803692 107738256 161607384 323214768