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730435664 = 24741732179
BaseRepresentation
bin101011100010011…
…001000001010000
31212220102222100202
4223202121001100
52443442420124
6200251434332
724046413020
oct5342310120
91786388322
10730435664
11345348142
121847559a8
13b843776a
146d01ba80
15441d55ae
hex2b899050

730435664 has 80 divisors (see below), whose sum is σ = 1680309120. Its totient is φ = 301086720.

The previous prime is 730435649. The next prime is 730435681. The reversal of 730435664 is 466534037.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334127 + ... + 336305.

It is an arithmetic number, because the mean of its divisors is an integer number (21003864).

Almost surely, 2730435664 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 730435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840154560).

730435664 is an abundant number, since it is smaller than the sum of its proper divisors (949873456).

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

730435664 is a wasteful number, since it uses less digits than its factorization.

730435664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The square root of 730435664 is about 27026.5732937048. The cubic root of 730435664 is about 900.5904208160.

The spelling of 730435664 in words is "seven hundred thirty million, four hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 73 82 112 146 164 287 292 328 511 574 584 656 1022 1148 1168 2044 2179 2296 2993 4088 4358 4592 5986 8176 8716 11972 15253 17432 20951 23944 30506 34864 41902 47888 61012 83804 89339 122024 159067 167608 178678 244048 318134 335216 357356 625373 636268 714712 1113469 1250746 1272536 1429424 2226938 2501492 2545072 4453876 5002984 6521747 8907752 10005968 13043494 17815504 26086988 45652229 52173976 91304458 104347952 182608916 365217832 730435664