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293304064 = 2819471283
BaseRepresentation
bin10001011110110…
…111011100000000
3202102220101112111
4101132313130000
51100041212224
645034305104
710161020614
oct2136673400
9672811474
10293304064
11140620759
1282288194
13489c5101
142ad4d344
151ab39d94
hex117b7700

293304064 has 72 divisors (see below), whose sum is σ = 629879040. Its totient is φ = 135871488.

The previous prime is 293304059. The next prime is 293304071. The reversal of 293304064 is 460403392.

It is a congruent number.

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, 227967 + ... + 229249.

It is an arithmetic number, because the mean of its divisors is an integer number (8748320).

Almost surely, 2293304064 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 293304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314939520).

293304064 is an abundant number, since it is smaller than the sum of its proper divisors (336574976).

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

293304064 is a wasteful number, since it uses less digits than its factorization.

293304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 293304064 is about 17126.1222697959. The cubic root of 293304064 is about 664.4148952961.

The spelling of 293304064 in words is "two hundred ninety-three million, three hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 256 304 376 608 752 893 1216 1283 1504 1786 2432 2566 3008 3572 4864 5132 6016 7144 10264 12032 14288 20528 24377 28576 41056 48754 57152 60301 82112 97508 114304 120602 164224 195016 228608 241204 328448 390032 482408 780064 964816 1145719 1560128 1929632 2291438 3120256 3859264 4582876 6240512 7718528 9165752 15437056 18331504 36663008 73326016 146652032 293304064