Search a number
-
+
304415298112 = 26238913211759
BaseRepresentation
bin1000110111000001001…
…00001101001001000000
31002002202020002102002211
410123200210031021000
514441420304014422
6351502500151504
730664460224522
oct4334044151100
91062666072084
10304415298112
11108113555102
124abb8098594
13229247b9b43
1410a3b6bda12
157dba11a577
hex46e090d240

304415298112 has 112 divisors (see below), whose sum is σ = 638265830400. Its totient is φ = 143763333120.

The previous prime is 304415298107. The next prime is 304415298119. The reversal of 304415298112 is 211892514403.

It is not an unprimeable number, because it can be changed into a prime (304415298119) 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, 173060689 + ... + 173062447.

Almost surely, 2304415298112 is an apocalyptic number.

304415298112 is a gapful number since it is divisible by the number (32) 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 304415298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319132915200).

304415298112 is an abundant number, since it is smaller than the sum of its proper divisors (333850532288).

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

304415298112 is a wasteful number, since it uses less digits than its factorization.

304415298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 304415298112 in words is "three hundred four billion, four hundred fifteen million, two hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 178 184 356 368 712 736 1321 1424 1472 1759 2047 2642 2848 3518 4094 5284 5696 7036 8188 10568 14072 16376 21136 28144 30383 32752 40457 42272 56288 60766 65504 80914 84544 112576 117569 121532 131008 156551 161828 235138 243064 313102 323656 470276 486128 626204 647312 940552 972256 1252408 1294624 1881104 1944512 2323639 2504816 2589248 2704087 3600673 3762208 4647278 5009632 5408174 7201346 7524416 9294556 10019264 10816348 14402692 18589112 21632696 28805384 37178224 43265392 53443697 57610768 74356448 86530784 106887394 115221536 148712896 173061568 206803871 213774788 230443072 413607742 427549576 827215484 855099152 1654430968 1710198304 3308861936 3420396608 4756489033 6617723872 9512978066 13235447744 19025956132 38051912264 76103824528 152207649056 304415298112