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730294656 = 27371320899
BaseRepresentation
bin101011100001110…
…110100110000000
31212220011210221020
4223201312212000
52443423412111
6200244425440
724045254640
oct5341664600
91786153836
10730294656
11345261203
121846a8280
13b83b8520
146cdc2520
15441a8906
hex2b876980

730294656 has 128 divisors (see below), whose sum is σ = 2387616000. Its totient is φ = 192595968.

The previous prime is 730294651. The next prime is 730294661. The reversal of 730294656 is 656492037.

It is an interprime number because it is at equal distance from previous prime (730294651) and next prime (730294661).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730294651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24495 + ... + 45393.

It is an arithmetic number, because the mean of its divisors is an integer number (18653250).

Almost surely, 2730294656 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 730294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193808000).

730294656 is an abundant number, since it is smaller than the sum of its proper divisors (1657321344).

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

730294656 is a wasteful number, since it uses less digits than its factorization.

730294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20936 (or 20924 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 730294656 is about 27023.9644759980. The cubic root of 730294656 is about 900.5324651635.

The spelling of 730294656 in words is "seven hundred thirty million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 20899 34944 41798 62697 83596 125394 146293 167192 250788 271687 292586 334384 438879 501576 543374 585172 668768 815061 877758 1003152 1086748 1170344 1337536 1630122 1755516 1901809 2006304 2173496 2340688 2675072 3260244 3511032 3803618 4012608 4346992 4681376 5705427 6520488 7022064 7607236 8025216 8693984 9362752 11410854 13040976 14044128 15214472 17387968 18725504 22821708 26081952 28088256 30428944 34775936 45643416 52163904 56176512 60857888 91286832 104327808 121715776 182573664 243431552 365147328 730294656