Search a number
-
+
664466328 = 233419291861
BaseRepresentation
bin100111100110101…
…111001110011000
31201022022101110000
4213212233032120
52330100410303
6145533453000
722315604421
oct4746571630
91638271400
10664466328
1131108a429
12166641160
13a787a756
1464368648
153d503da3
hex279af398

664466328 has 160 divisors (see below), whose sum is σ = 2027718000. Its totient is φ = 202487040.

The previous prime is 664466311. The next prime is 664466359. The reversal of 664466328 is 823664466.

664466328 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 6 + 632 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356118 + ... + 357978.

Almost surely, 2664466328 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 664466328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013859000).

664466328 is an abundant number, since it is smaller than the sum of its proper divisors (1363251672).

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

664466328 is a wasteful number, since it uses less digits than its factorization.

664466328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1914 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 664466328 is about 25777.2443833704. The cubic root of 664466328 is about 872.6183189979.

The spelling of 664466328 in words is "six hundred sixty-four million, four hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 81 87 108 114 116 152 162 171 174 216 228 232 261 324 342 348 456 513 522 551 648 684 696 783 1026 1044 1102 1368 1539 1566 1653 1861 2052 2088 2204 2349 3078 3132 3306 3722 4104 4408 4698 4959 5583 6156 6264 6612 7444 9396 9918 11166 12312 13224 14877 14888 16749 18792 19836 22332 29754 33498 35359 39672 44631 44664 50247 53969 59508 66996 70718 89262 100494 106077 107938 119016 133992 141436 150741 161907 178524 200988 212154 215876 282872 301482 318231 323814 357048 401976 424308 431752 485721 602964 636462 647628 848616 954693 971442 1025411 1205928 1272924 1295256 1457163 1909386 1942884 2050822 2545848 2864079 2914326 3076233 3818772 3885768 4101644 4371489 5728158 5828652 6152466 7637544 8203288 8742978 9228699 11456316 11657304 12304932 17485956 18457398 22912632 24609864 27686097 34971912 36914796 55372194 73829592 83058291 110744388 166116582 221488776 332233164 664466328