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64329840 = 24325471901
BaseRepresentation
bin1111010101100…
…1100001110000
311111001021221200
43311121201300
5112432023330
610214451200
71410536361
oct365314160
9144037850
1064329840
1133348a63
1219663b00
13104349c3
148787b68
1559aaa60
hex3d59870

64329840 has 120 divisors (see below), whose sum is σ = 220753728. Its totient is φ = 16780800.

The previous prime is 64329821. The next prime is 64329847. The reversal of 64329840 is 4892346.

It is a happy number.

64329840 is a `hidden beast` number, since 643 + 2 + 9 + 8 + 4 + 0 = 666.

64329840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64329795 and 64329804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64329847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32890 + ... + 34790.

Almost surely, 264329840 is an apocalyptic number.

64329840 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 64329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376864).

64329840 is an abundant number, since it is smaller than the sum of its proper divisors (156423888).

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

64329840 is a wasteful number, since it uses less digits than its factorization.

64329840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 64329840 is about 8020.5885070860. The cubic root of 64329840 is about 400.6859895400.

The spelling of 64329840 in words is "sixty-four million, three hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 1901 2115 2256 2820 3384 3760 3802 4230 5640 5703 6768 7604 8460 9505 11280 11406 15208 16920 17109 19010 22812 28515 30416 33840 34218 38020 45624 57030 68436 76040 85545 89347 91248 114060 136872 152080 171090 178694 228120 268041 273744 342180 357388 446735 456240 536082 684360 714776 804123 893470 1072164 1340205 1368720 1429552 1608246 1786940 2144328 2680410 3216492 3573880 4020615 4288656 5360820 6432984 7147760 8041230 10721640 12865968 16082460 21443280 32164920 64329840