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64304640 = 293252791
BaseRepresentation
bin1111010101001…
…1011000000000
311111000000101100
43311103120000
5112430222030
610214134400
71410403041
oct365233000
9144000340
1064304640
1133331034
1219651400
13104263aa
14877c8c8
1559a3360
hex3d53600

64304640 has 120 divisors (see below), whose sum is σ = 222784848. Its totient is φ = 17141760.

The previous prime is 64304621. The next prime is 64304663. The reversal of 64304640 is 4640346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21645 + ... + 24435.

Almost surely, 264304640 is an apocalyptic number.

64304640 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 64304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111392424).

64304640 is an abundant number, since it is smaller than the sum of its proper divisors (158480208).

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

64304640 is a wasteful number, since it uses less digits than its factorization.

64304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 64304640 is about 8019.0173961652. The cubic root of 64304640 is about 400.6336623168.

Adding to 64304640 its reverse (4640346), we get a palindrome (68944986).

It can be divided in two parts, 64 and 304640, that added together give a square (304704 = 5522).

The spelling of 64304640 in words is "sixty-four million, three hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2791 2880 3840 4608 5582 5760 7680 8373 11164 11520 13955 16746 22328 23040 25119 27910 33492 41865 44656 50238 55820 66984 83730 89312 100476 111640 125595 133968 167460 178624 200952 223280 251190 267936 334920 357248 401904 446560 502380 535872 669840 714496 803808 893120 1004760 1071744 1339680 1428992 1607616 1786240 2009520 2143488 2679360 3215232 3572480 4019040 4286976 5358720 6430464 7144960 8038080 10717440 12860928 16076160 21434880 32152320 64304640