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730276480 = 2751767121
BaseRepresentation
bin101011100001110…
…010001010000000
31212220010220000001
4223201302022000
52443422321410
6200244205344
724045150643
oct5341621200
91786126001
10730276480
1134524958a
12184699854
13b83b017b
146cdb9a5a
15441a333a
hex2b872280

730276480 has 64 divisors (see below), whose sum is σ = 1848539880. Its totient is φ = 274923520.

The previous prime is 730276397. The next prime is 730276501. The reversal of 730276480 is 84672037.

It can be written as a sum of positive squares in 4 ways, for example, as 658230336 + 72046144 = 25656^2 + 8488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 22681 + ... + 44440.

Almost surely, 2730276480 is an apocalyptic number.

It is an amenable number.

730276480 is an abundant number, since it is smaller than the sum of its proper divisors (1118263400).

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

730276480 is a wasteful number, since it uses less digits than its factorization.

730276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67157 (or 67145 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 730276480 is about 27023.6281797985. The cubic root of 730276480 is about 900.5249941088.

It can be divided in two parts, 73027 and 6480, that added together give a cube (79507 = 433).

The spelling of 730276480 in words is "seven hundred thirty million, two hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 67121 134242 268484 335605 536968 671210 1073936 1141057 1342420 2147872 2282114 2684840 4295744 4564228 5369680 5705285 8591488 9128456 10739360 11410570 18256912 21478720 22821140 36513824 42957440 45642280 73027648 91284560 146055296 182569120 365138240 730276480