Search a number
-
+
304729118040 = 23357364154269
BaseRepresentation
bin1000110111100110100…
…01010101010101011000
31002010120002121010010010
410123303101111111120
514443041123234130
6351553550321520
731005320523444
oct4336321252530
91063502533103
10304729118040
11108264708716
124b0851b92a0
13229748160c9
1410a6b24d824
157dd79590b0
hex46f3455558

304729118040 has 128 divisors (see below), whose sum is σ = 928173297600. Its totient is φ = 80021422080.

The previous prime is 304729118021. The next prime is 304729118069. The reversal of 304729118040 is 40811927403.

It is a self number, because there is not a number n which added to its sum of digits gives 304729118040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588026 + ... + 5642294.

Almost surely, 2304729118040 is an apocalyptic number.

304729118040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304729118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464086648800).

304729118040 is an abundant number, since it is smaller than the sum of its proper divisors (623444179560).

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

304729118040 is a wasteful number, since it uses less digits than its factorization.

304729118040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54997 (or 54993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 304729118040 in words is "three hundred four billion, seven hundred twenty-nine million, one hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 641 730 876 1095 1282 1460 1752 1923 2190 2564 2920 3205 3846 4380 5128 6410 7692 8760 9615 12820 15384 19230 25640 38460 46793 54269 76920 93586 108538 140379 162807 187172 217076 233965 271345 280758 325614 374344 434152 467930 542690 561516 651228 701895 814035 935860 1085380 1123032 1302456 1403790 1628070 1871720 2170760 2807580 3256140 3961637 5615160 6512280 7923274 11884911 15846548 19808185 23769822 31693096 34786429 39616370 47539644 59424555 69572858 79232740 95079288 104359287 118849110 139145716 158465480 173932145 208718574 237698220 278291432 347864290 417437148 475396440 521796435 695728580 834874296 1043592870 1391457160 2087185740 2539409317 4174371480 5078818634 7618227951 10157637268 12697046585 15236455902 20315274536 25394093170 30472911804 38091139755 50788186340 60945823608 76182279510 101576372680 152364559020 304729118040