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8304640640 = 27522757163
BaseRepresentation
bin1111011101111111…
…01100001010000000
3210102202122110021222
413232333230022000
5114001442000030
63452021134212
7412540165202
oct75677541200
923382573258
108304640640
11358183147a
12173925a368
13a246a725a
1458ad28772
153391243e5
hex1eefec280

8304640640 has 64 divisors (see below), whose sum is σ = 19941089760. Its totient is φ = 3307164672.

The previous prime is 8304640609. The next prime is 8304640667. The reversal of 8304640640 is 460464038.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8304640640.

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, 116699 + ... + 173861.

Almost surely, 28304640640 is an apocalyptic number.

8304640640 is a gapful number since it is divisible by the number (80) 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 8304640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970544880).

8304640640 is an abundant number, since it is smaller than the sum of its proper divisors (11636449120).

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

8304640640 is a wasteful number, since it uses less digits than its factorization.

8304640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57409 (or 57397 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 8304640640 is about 91129.8010532230. The cubic root of 8304640640 is about 2025.0711260899.

The spelling of 8304640640 in words is "eight billion, three hundred four million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 908 1135 1816 2270 3632 4540 7264 9080 14528 18160 29056 36320 57163 72640 114326 145280 228652 285815 457304 571630 914608 1143260 1829216 2286520 3658432 4573040 7316864 9146080 12976001 18292160 25952002 36584320 51904004 64880005 103808008 129760010 207616016 259520020 415232032 519040040 830464064 1038080080 1660928128 2076160160 4152320320 8304640640