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730416016 = 241121722193
BaseRepresentation
bin101011100010010…
…100001110010000
31212220101222102001
4223202110032100
52443441303031
6200251203344
724046301521
oct5342241620
91786358361
10730416016
11345334400
12184746554
13b842b835
146d014848
15441ce861
hex2b894390

730416016 has 60 divisors (see below), whose sum is σ = 1647105516. Its totient is φ = 312463360.

The previous prime is 730416007. The next prime is 730416023. The reversal of 730416016 is 610614037.

It can be written as a sum of positive squares in 2 ways, for example, as 640090000 + 90326016 = 25300^2 + 9504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21816 + ... + 44008.

Almost surely, 2730416016 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 730416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823552758).

730416016 is an abundant number, since it is smaller than the sum of its proper divisors (916689500).

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

730416016 is a wasteful number, since it uses less digits than its factorization.

730416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22240 (or 22223 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 730416016 is about 27026.2097971580. The cubic root of 730416016 is about 900.5823457452.

The spelling of 730416016 in words is "seven hundred thirty million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 8228 16456 22193 32912 44386 88772 177544 244123 355088 377281 488246 754562 976492 1509124 1952984 2685353 3018248 3905968 4150091 5370706 6036496 8300182 10741412 16600364 21482824 33200728 42965648 45651001 66401456 91302002 182604004 365208008 730416016