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730629984 = 253721271223
BaseRepresentation
bin101011100011001…
…000011101100000
31212220210211220210
4223203020131200
52444020124414
6200255534120
724051152400
oct5343103540
91786724823
10730629984
11345470137
1218482a340
13b84a5046
146d06c800
1544222e59
hex2b8c8760

730629984 has 144 divisors (see below), whose sum is σ = 2250436608. Its totient is φ = 206938368.

The previous prime is 730629947. The next prime is 730629989. The reversal of 730629984 is 489926037.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730629989) 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 23 ways as a sum of consecutive naturals, for example, 596797 + ... + 598019.

It is an arithmetic number, because the mean of its divisors is an integer number (15628032).

Almost surely, 2730629984 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 730629984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125218304).

730629984 is an abundant number, since it is smaller than the sum of its proper divisors (1519806624).

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

730629984 is a wasteful number, since it uses less digits than its factorization.

730629984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 730629984 is about 27030.1680349938. The cubic root of 730629984 is about 900.6702759959.

The spelling of 730629984 in words is "seven hundred thirty million, six hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 127 147 168 196 224 254 294 336 381 392 508 588 672 762 784 889 1016 1176 1223 1524 1568 1778 2032 2352 2446 2667 3048 3556 3669 4064 4704 4892 5334 6096 6223 7112 7338 8561 9784 10668 12192 12446 14224 14676 17122 18669 19568 21336 24892 25683 28448 29352 34244 37338 39136 42672 49784 51366 58704 59927 68488 74676 85344 99568 102732 117408 119854 136976 149352 155321 179781 199136 205464 239708 273952 298704 310642 359562 410928 465963 479416 597408 621284 719124 821856 931926 958832 1087247 1242568 1438248 1863852 1917664 2174494 2485136 2876496 3261741 3727704 4348988 4970272 5752992 6523482 7455408 7610729 8697976 13046964 14910816 15221458 17395952 22832187 26093928 30442916 34791904 45664374 52187856 60885832 91328748 104375712 121771664 182657496 243543328 365314992 730629984