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664589340 = 2233510511171
BaseRepresentation
bin100111100111001…
…101010000011100
31201022112122012000
4213213031100130
52330113324330
6145540242300
722316626152
oct4747152034
91638478160
10664589340
11311163898
121666a0390
13a78c173c
146439b3d2
153d52a560
hex279cd41c

664589340 has 96 divisors (see below), whose sum is σ = 2071345920. Its totient is φ = 176904000.

The previous prime is 664589311. The next prime is 664589363. The reversal of 664589340 is 43985466.

664589340 is a `hidden beast` number, since 6 + 64 + 589 + 3 + 4 + 0 = 666.

664589340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566955 + ... + 568125.

It is an arithmetic number, because the mean of its divisors is an integer number (21576520).

Almost surely, 2664589340 is an apocalyptic number.

664589340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664589340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035672960).

664589340 is an abundant number, since it is smaller than the sum of its proper divisors (1406756580).

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

664589340 is a wasteful number, since it uses less digits than its factorization.

664589340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 664589340 is about 25779.6303309415. The cubic root of 664589340 is about 872.6721646666.

The spelling of 664589340 in words is "six hundred sixty-four million, five hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1051 1171 2102 2342 3153 3513 4204 4684 5255 5855 6306 7026 9459 10510 10539 11710 12612 14052 15765 17565 18918 21020 21078 23420 28377 31530 31617 35130 37836 42156 47295 52695 56754 63060 63234 70260 94590 105390 113508 126468 141885 158085 189180 210780 283770 316170 567540 632340 1230721 2461442 3692163 4922884 6153605 7384326 11076489 12307210 14768652 18460815 22152978 24614420 33229467 36921630 44305956 55382445 66458934 73843260 110764890 132917868 166147335 221529780 332294670 664589340