Search a number
-
+
730605984 = 25389233367
BaseRepresentation
bin101011100011000…
…010100110100000
31212220202121222220
4223203002212200
52444013342414
6200255231040
724051022413
oct5343024640
91786677886
10730605984
113454540a9
12184818480
13b8497144
146d063b7a
154421aca9
hex2b8c29a0

730605984 has 96 divisors (see below), whose sum is σ = 1953020160. Its totient is φ = 239112192.

The previous prime is 730605979. The next prime is 730606021. The reversal of 730605984 is 489506037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990569 + ... + 1990935.

It is an arithmetic number, because the mean of its divisors is an integer number (20343960).

Almost surely, 2730605984 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 730605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976510080).

730605984 is an abundant number, since it is smaller than the sum of its proper divisors (1222414176).

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

730605984 is a wasteful number, since it uses less digits than its factorization.

730605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 730605984 is about 27029.7240829425. The cubic root of 730605984 is about 900.6604140394.

The spelling of 730605984 in words is "seven hundred thirty million, six hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 233 267 356 367 466 534 699 712 734 932 1068 1101 1398 1424 1468 1864 2136 2202 2796 2848 2936 3728 4272 4404 5592 5872 7456 8544 8808 11184 11744 17616 20737 22368 32663 35232 41474 62211 65326 82948 85511 97989 124422 130652 165896 171022 195978 248844 256533 261304 331792 342044 391956 497688 513066 522608 663584 684088 783912 995376 1026132 1045216 1368176 1567824 1990752 2052264 2736352 3135648 4104528 7610479 8209056 15220958 22831437 30441916 45662874 60883832 91325748 121767664 182651496 243535328 365302992 730605984