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964663380 = 2232543312377
BaseRepresentation
bin111001011111111…
…001100001010100
32111020011222101100
4321133321201110
53433423212010
6235420030100
732622334452
oct7137714124
92436158340
10964663380
1145558896a
1222b092330
13124b17145
149218d9d2
1559a512c0
hex397f9854

964663380 has 72 divisors (see below), whose sum is σ = 2933140392. Its totient is φ = 256628736.

The previous prime is 964663373. The next prime is 964663409. The reversal of 964663380 is 83366469.

964663380 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 633 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 950735556 = 3732^2 + 30834^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71752 + ... + 84128.

It is an arithmetic number, because the mean of its divisors is an integer number (40738061).

Almost surely, 2964663380 is an apocalyptic number.

964663380 is a gapful number since it is divisible by the number (90) 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 964663380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466570196).

964663380 is an abundant number, since it is smaller than the sum of its proper divisors (1968477012).

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

964663380 is a wasteful number, since it uses less digits than its factorization.

964663380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 964663380 is about 31059.0305708340. The cubic root of 964663380 is about 988.0795952310.

The spelling of 964663380 in words is "nine hundred sixty-four million, six hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 433 866 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 12377 12990 15588 19485 24754 25980 37131 38970 49508 61885 74262 77940 111393 123770 148524 185655 222786 247540 371310 445572 556965 742620 1113930 2227860 5359241 10718482 16077723 21436964 26796205 32155446 48233169 53592410 64310892 80388615 96466338 107184820 160777230 192932676 241165845 321554460 482331690 964663380