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716306304 = 2737238069
BaseRepresentation
bin101010101100011…
…111011110000000
31211220212010112010
4222230133132000
52431333300204
6155024532520
723515334400
oct5254373600
91756763463
10716306304
1133837758a
1217ba81140
13b552b4ac
146b1c0800
1542d43d89
hex2ab1f780

716306304 has 96 divisors (see below), whose sum is σ = 2213389800. Its totient is φ = 204653568.

The previous prime is 716306287. The next prime is 716306309. The reversal of 716306304 is 403603617.

716306304 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716306309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 37850.

Almost surely, 2716306304 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 716306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106694900).

716306304 is an abundant number, since it is smaller than the sum of its proper divisors (1497083496).

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

716306304 is a wasteful number, since it uses less digits than its factorization.

716306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38100 (or 38081 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 716306304 is about 26763.8992674834. The cubic root of 716306304 is about 894.7456406065.

The spelling of 716306304 in words is "seven hundred sixteen million, three hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 38069 76138 114207 152276 228414 266483 304552 456828 532966 609104 799449 913656 1065932 1218208 1598898 1827312 1865381 2131864 2436416 3197796 3654624 3730762 4263728 4872832 5596143 6395592 7309248 7461524 8527456 11192286 12791184 14618496 14923048 17054912 22384572 25582368 29846096 34109824 44769144 51164736 59692192 89538288 102329472 119384384 179076576 238768768 358153152 716306304