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321230096 = 2411171011063
BaseRepresentation
bin10011001001011…
…001010100010000
3211101110011211222
4103021121110100
51124213330341
651513024212
710650260615
oct2311312420
9741404758
10321230096
11155364a20
128b6b5068
13517220a5
143093c50c
151d30444b
hex13259510

321230096 has 80 divisors (see below), whose sum is σ = 726703488. Its totient is φ = 135936000.

The previous prime is 321230089. The next prime is 321230123. The reversal of 321230096 is 690032123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301661 + ... + 302723.

Almost surely, 2321230096 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 321230096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363351744).

321230096 is an abundant number, since it is smaller than the sum of its proper divisors (405473392).

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

321230096 is a wasteful number, since it uses less digits than its factorization.

321230096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 321230096 is about 17922.8930700375. The cubic root of 321230096 is about 684.8656891196.

The spelling of 321230096 in words is "three hundred twenty-one million, two hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 101 136 176 187 202 272 374 404 748 808 1063 1111 1496 1616 1717 2126 2222 2992 3434 4252 4444 6868 8504 8888 11693 13736 17008 17776 18071 18887 23386 27472 36142 37774 46772 72284 75548 93544 107363 144568 151096 187088 198781 214726 289136 302192 397562 429452 795124 858904 1180993 1590248 1717808 1825171 2361986 3180496 3650342 4723972 7300684 9447944 14601368 18895888 20076881 29202736 40153762 80307524 160615048 321230096