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730710216 = 233229615737
BaseRepresentation
bin101011100011011…
…100000011001000
31212220221220222100
4223203130003020
52444030211331
6200301353400
724051635325
oct5343340310
91786856870
10730710216
11345515445
12184868860
13b8502712
146d08db4c
154423bae6
hex2b8dc0c8

730710216 has 96 divisors (see below), whose sum is σ = 2081172600. Its totient is φ = 231275520.

The previous prime is 730710209. The next prime is 730710229. The reversal of 730710216 is 612017037.

It can be written as a sum of positive squares in 4 ways, for example, as 194602500 + 536107716 = 13950^2 + 23154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 730710216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124500 + ... + 130236.

Almost surely, 2730710216 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 730710216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040586300).

730710216 is an abundant number, since it is smaller than the sum of its proper divisors (1350462384).

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

730710216 is a wasteful number, since it uses less digits than its factorization.

730710216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 730710216 is about 27031.6521137721. The cubic root of 730710216 is about 900.7032429488.

The spelling of 730710216 in words is "seven hundred thirty million, seven hundred ten thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 61 72 87 116 122 174 183 232 244 261 348 366 488 522 549 696 732 1044 1098 1464 1769 2088 2196 3538 4392 5307 5737 7076 10614 11474 14152 15921 17211 21228 22948 31842 34422 42456 45896 51633 63684 68844 103266 127368 137688 166373 206532 332746 349957 413064 499119 665492 699914 998238 1049871 1330984 1399828 1497357 1996476 2099742 2799656 2994714 3149613 3992952 4199484 5989428 6299226 8398968 10148753 11978856 12598452 20297506 25196904 30446259 40595012 60892518 81190024 91338777 121785036 182677554 243570072 365355108 730710216