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320123648 = 2813432237
BaseRepresentation
bin10011000101001…
…011001100000000
3211022100222002102
4103011023030000
51123422424043
651433205532
710635002045
oct2305131400
9738328072
10320123648
111547796a9
128b2608a8
13514255a0
14307311cc
151d1866b8
hex1314b300

320123648 has 72 divisors (see below), whose sum is σ = 704468688. Its totient is φ = 144248832.

The previous prime is 320123603. The next prime is 320123677. The reversal of 320123648 is 846321023.

It is a self number, because there is not a number n which added to its sum of digits gives 320123648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141986 + ... + 144222.

Almost surely, 2320123648 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 320123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352234344).

320123648 is an abundant number, since it is smaller than the sum of its proper divisors (384345040).

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

320123648 is a wasteful number, since it uses less digits than its factorization.

320123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 320123648 is about 17891.9995528728. Note that the first 3 decimals coincide. The cubic root of 320123648 is about 684.0784652869.

The spelling of 320123648 in words is "three hundred twenty million, one hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 559 688 832 1118 1376 1664 2236 2237 2752 3328 4472 4474 5504 8944 8948 11008 17888 17896 29081 35776 35792 58162 71552 71584 96191 116324 143104 143168 192382 232648 286336 384764 465296 572672 769528 930592 1250483 1539056 1861184 2500966 3078112 3722368 5001932 6156224 7444736 10003864 12312448 20007728 24624896 40015456 80030912 160061824 320123648