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328126232304 = 243213709247223
BaseRepresentation
bin1001100011001011101…
…10001111011011110000
31011100221200101200001200
410301211312033123300
520334000303413204
6410423351531200
732464162645533
oct4614566173360
91140850350050
10328126232304
11117180781992
1253714989b00
1324c32c46210
1411c4a790a1a
158806a5c539
hex4c65d8f6f0

328126232304 has 120 divisors (see below), whose sum is σ = 990334843680. Its totient is φ = 100819109376.

The previous prime is 328126232293. The next prime is 328126232449. The reversal of 328126232304 is 403232621823.

328126232304 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 2 + 623 + 23 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203637 + ... + 1450859.

It is an arithmetic number, because the mean of its divisors is an integer number (8252790364).

Almost surely, 2328126232304 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 328126232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495167421840).

328126232304 is an abundant number, since it is smaller than the sum of its proper divisors (662208611376).

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

328126232304 is a wasteful number, since it uses less digits than its factorization.

328126232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247959 (or 247950 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 328126232304 in words is "three hundred twenty-eight billion, one hundred twenty-six million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 709 936 1418 1872 2127 2836 4254 5672 6381 8508 9217 11344 12762 17016 18434 25524 27651 34032 36868 51048 55302 73736 82953 102096 110604 147472 165906 221208 247223 331812 442416 494446 663624 741669 988892 1327248 1483338 1977784 2225007 2966676 3213899 3955568 4450014 5933352 6427798 8900028 9641697 11866704 12855596 17800056 19283394 25711192 28925091 35600112 38566788 51422384 57850182 77133576 115700364 154267152 175281107 231400728 350562214 462801456 525843321 701124428 1051686642 1402248856 1577529963 2103373284 2278654391 2804497712 3155059926 4206746568 4557308782 6310119852 6835963173 8413493136 9114617564 12620239704 13671926346 18229235128 20507889519 25240479408 27343852692 36458470256 41015779038 54687705384 82031558076 109375410768 164063116152 328126232304