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704468064 = 25324130449
BaseRepresentation
bin101001111111010…
…101010001100000
31211002120200111210
4221333111101200
52420320434224
6153523110120
723312610516
oct5177252140
91732520453
10704468064
11331721313
12177b12340
13b2c45011
14697bc4b6
1541ca6429
hex29fd5460

704468064 has 48 divisors (see below), whose sum is σ = 1856962800. Its totient is φ = 233840640.

The previous prime is 704468057. The next prime is 704468069. The reversal of 704468064 is 460864407.

704468064 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 (48).

It is a super-3 number, since 3×7044680643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704468069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7912 + ... + 38360.

It is an arithmetic number, because the mean of its divisors is an integer number (38686725).

Almost surely, 2704468064 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 704468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928481400).

704468064 is an abundant number, since it is smaller than the sum of its proper divisors (1152494736).

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

704468064 is a wasteful number, since it uses less digits than its factorization.

704468064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30703 (or 30695 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 704468064 is about 26541.8172701117. The cubic root of 704468064 is about 889.7891450161.

The spelling of 704468064 in words is "seven hundred four million, four hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 23136 30449 60898 91347 121796 182694 243592 365388 487184 730776 974368 1461552 2923104 7338209 14676418 22014627 29352836 44029254 58705672 88058508 117411344 176117016 234822688 352234032 704468064