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730229248 = 297673041
BaseRepresentation
bin101011100001100…
…110101000000000
31212220001111012201
4223201212220000
52443414313443
6200243202544
724044563150
oct5341465000
91786044181
10730229248
11345217051
12184676454
13b8394818
146cda6760
154419434d
hex2b866a00

730229248 has 80 divisors (see below), whose sum is σ = 1692909504. Its totient is φ = 308183040.

The previous prime is 730229243. The next prime is 730229257. The reversal of 730229248 is 842922037.

It is not an unprimeable number, because it can be changed into a prime (730229243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 238608 + ... + 241648.

Almost surely, 2730229248 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 730229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846454752).

730229248 is an abundant number, since it is smaller than the sum of its proper divisors (962680256).

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

730229248 is an equidigital number, since it uses as much as digits as its factorization.

730229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 730229248 is about 27022.7542637682. The cubic root of 730229248 is about 900.5055793097.

The spelling of 730229248 in words is "seven hundred thirty million, two hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1072 1792 1876 2144 3041 3584 3752 4288 6082 7504 8576 12164 15008 17152 21287 24328 30016 34304 42574 48656 60032 85148 97312 120064 170296 194624 203747 240128 340592 389248 407494 681184 778496 814988 1362368 1426229 1556992 1629976 2724736 2852458 3259952 5449472 5704916 6519904 10898944 11409832 13039808 22819664 26079616 45639328 52159232 91278656 104318464 182557312 365114624 730229248