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673445664 = 2534416337
BaseRepresentation
bin101000001000111…
…111011100100000
31201221012120210000
4220020333130200
52334400230124
6150454140000
722455123303
oct5010773440
91657176700
10673445664
11316162771
12169651600
13a96a2878
1465624b3a
153e1c96c9
hex2823f720

673445664 has 120 divisors (see below), whose sum is σ = 2029212108. Its totient is φ = 218972160.

The previous prime is 673445603. The next prime is 673445677. The reversal of 673445664 is 466544376.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 590490000 + 82955664 = 24300^2 + 9108^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 103104 + ... + 109440.

Almost surely, 2673445664 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 673445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014606054).

673445664 is an abundant number, since it is smaller than the sum of its proper divisors (1355766444).

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

673445664 is a wasteful number, since it uses less digits than its factorization.

673445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6383 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 673445664 is about 25950.8316629737. The cubic root of 673445664 is about 876.5314845670.

The spelling of 673445664 in words is "six hundred seventy-three million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6337 6642 8856 11808 12674 13284 17712 19011 25348 26568 35424 38022 50696 53136 57033 76044 101392 106272 114066 152088 171099 202784 228132 259817 304176 342198 456264 513297 519634 608352 684396 779451 912528 1026594 1039268 1368792 1558902 1825056 2053188 2078536 2338353 2737584 3117804 4106376 4157072 4676706 5475168 6235608 7015059 8212752 8314144 9353412 12471216 14030118 16425504 18706824 21045177 24942432 28060236 37413648 42090354 56120472 74827296 84180708 112240944 168361416 224481888 336722832 673445664