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323640768 = 26311293523
BaseRepresentation
bin10011010010100…
…101110111000000
3211112222122200010
4103102211313000
51130323001033
652040424520
711006621043
oct2322456700
9745878603
10323640768
11156761110
1290478140
1352087419
1430da8c5a
151d62d863
hex134a5dc0

323640768 has 112 divisors (see below), whose sum is σ = 939125376. Its totient is φ = 97551360.

The previous prime is 323640767. The next prime is 323640787. The reversal of 323640768 is 867046323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323640767) 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, 618555 + ... + 619077.

It is an arithmetic number, because the mean of its divisors is an integer number (8385048).

Almost surely, 2323640768 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 323640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469562688).

323640768 is an abundant number, since it is smaller than the sum of its proper divisors (615484608).

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

323640768 is a wasteful number, since it uses less digits than its factorization.

323640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 323640768 is about 17990.0185658603. The cubic root of 323640768 is about 686.5746133971.

The spelling of 323640768 in words is "three hundred twenty-three million, six hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 293 352 523 528 586 704 879 1046 1056 1172 1569 1758 2092 2112 2344 3138 3223 3516 4184 4688 5753 6276 6446 7032 8368 9376 9669 11506 12552 12892 14064 16736 17259 18752 19338 23012 25104 25784 28128 33472 34518 38676 46024 50208 51568 56256 69036 77352 92048 100416 103136 138072 153239 154704 184096 206272 276144 306478 309408 368192 459717 552288 612956 618816 919434 1104576 1225912 1685629 1838868 2451824 3371258 3677736 4903648 5056887 6742516 7355472 9807296 10113774 13485032 14710944 20227548 26970064 29421888 40455096 53940128 80910192 107880256 161820384 323640768