Search a number
-
+
730312320 = 2735478093
BaseRepresentation
bin101011100001111…
…010111010000000
31212220012201011110
4223201322322000
52443424443240
6200245043320
724045360303
oct5341727200
91786181143
10730312320
11345273501
121846b6540
13b83c358a
146cdc8b3a
15441adc80
hex2b87ae80

730312320 has 128 divisors (see below), whose sum is σ = 2377693440. Its totient is φ = 190582784.

The previous prime is 730312309. The next prime is 730312381. The reversal of 730312320 is 23213037.

It is a tau number, because it is divible by the number of its divisors (128).

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, 86194 + ... + 94286.

It is an arithmetic number, because the mean of its divisors is an integer number (18575730).

Almost surely, 2730312320 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 730312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188846720).

730312320 is an abundant number, since it is smaller than the sum of its proper divisors (1647381120).

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

730312320 is a wasteful number, since it uses less digits than its factorization.

730312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8162 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 730312320 is about 27024.2912950553. The cubic root of 730312320 is about 900.5397256472.

Adding to 730312320 its reverse (23213037), we get a palindrome (753525357).

The spelling of 730312320 in words is "seven hundred thirty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 8093 9024 11280 15040 16186 18048 22560 24279 30080 32372 40465 45120 48558 64744 80930 90240 97116 121395 129488 161860 194232 242790 258976 323720 380371 388464 485580 517952 647440 760742 776928 971160 1035904 1141113 1294880 1521484 1553856 1901855 1942320 2282226 2589760 3042968 3107712 3803710 3884640 4564452 5179520 5705565 6085936 7607420 7769280 9128904 11411130 12171872 15214840 15538560 18257808 22822260 24343744 30429680 36515616 45644520 48687488 60859360 73031232 91289040 121718720 146062464 182578080 243437440 365156160 730312320