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3284967040 = 27514233607
BaseRepresentation
bin1100001111001100…
…1001111010000000
322110221020121121221
43003303021322000
523211422421130
61301544124424
7144255521245
oct30363117200
98427217557
103284967040
1114363073a3
12778166714
1340474a9a4
142323c55cc
151435d387a
hexc3cc9e80

3284967040 has 64 divisors (see below), whose sum is σ = 7860821760. Its totient is φ = 1312699392.

The previous prime is 3284967017. The next prime is 3284967067. The reversal of 3284967040 is 407694823.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908917 + ... + 912523.

It is an arithmetic number, because the mean of its divisors is an integer number (122825340).

Almost surely, 23284967040 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 3284967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930410880).

3284967040 is an abundant number, since it is smaller than the sum of its proper divisors (4575854720).

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

3284967040 is a wasteful number, since it uses less digits than its factorization.

3284967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3284967040 is about 57314.6319886990. The cubic root of 3284967040 is about 1486.5413887164.

The spelling of 3284967040 in words is "three billion, two hundred eighty-four million, nine hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1423 2846 3607 5692 7115 7214 11384 14230 14428 18035 22768 28460 28856 36070 45536 56920 57712 72140 91072 113840 115424 144280 182144 227680 230848 288560 455360 461696 577120 910720 1154240 2308480 5132761 10265522 20531044 25663805 41062088 51327610 82124176 102655220 164248352 205310440 328496704 410620880 656993408 821241760 1642483520 3284967040