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3304565664 = 25323265071
BaseRepresentation
bin1100010011110111…
…1010101110100000
322112022010022212220
43010331322232200
523231432100124
61303524151040
7144614226141
oct30475725640
98468108786
103304565664
111446383104
12782838480
134088204ca
14234c47ac8
151451a5879
hexc4f7aba0

3304565664 has 72 divisors (see below), whose sum is σ = 9068173632. Its totient is φ = 1053613440.

The previous prime is 3304565659. The next prime is 3304565711. The reversal of 3304565664 is 4665654033.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 18249 + ... + 83319.

It is an arithmetic number, because the mean of its divisors is an integer number (125946856).

Almost surely, 23304565664 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 3304565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534086816).

3304565664 is an abundant number, since it is smaller than the sum of its proper divisors (5763607968).

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

3304565664 is a wasteful number, since it uses less digits than its factorization.

3304565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65130 (or 65099 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The square root of 3304565664 is about 57485.3517341592. The cubic root of 3304565664 is about 1489.4918411879.

The spelling of 3304565664 in words is "three billion, three hundred four million, five hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 4232 6348 8464 12696 16928 25392 50784 65071 130142 195213 260284 390426 520568 780852 1041136 1496633 1561704 2082272 2993266 3123408 4489899 5986532 6246816 8979798 11973064 17959596 23946128 34422559 35919192 47892256 68845118 71838384 103267677 137690236 143676768 206535354 275380472 413070708 550760944 826141416 1101521888 1652282832 3304565664