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305253036 = 223411412089
BaseRepresentation
bin10010001100011…
…100101010101100
3210021101110110000
4102030130222230
51111121044121
650142344300
710364415354
oct2214345254
9707343400
10305253036
11147342140
128628b090
134b319aca
142c77db64
151bbea526
hex1231caac

305253036 has 120 divisors (see below), whose sum is σ = 892195920. Its totient is φ = 90201600.

The previous prime is 305253017. The next prime is 305253073. The reversal of 305253036 is 630352503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 145080 + ... + 147168.

It is an arithmetic number, because the mean of its divisors is an integer number (7434966).

Almost surely, 2305253036 is an apocalyptic number.

305253036 is a gapful number since it is divisible by the number (36) 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 305253036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446097960).

305253036 is an abundant number, since it is smaller than the sum of its proper divisors (586942884).

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

305253036 is a wasteful number, since it uses less digits than its factorization.

305253036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 305253036 is about 17471.4920942660. The cubic root of 305253036 is about 673.3176474687.

The spelling of 305253036 in words is "three hundred five million, two hundred fifty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 81 82 99 108 123 132 162 164 198 246 297 324 369 396 451 492 594 738 891 902 1107 1188 1353 1476 1782 1804 2089 2214 2706 3321 3564 4059 4178 4428 5412 6267 6642 8118 8356 12177 12534 13284 16236 18801 22979 24354 25068 36531 37602 45958 48708 56403 68937 73062 75204 85649 91916 112806 137874 146124 169209 171298 206811 225612 256947 275748 338418 342596 413622 513894 620433 676836 770841 827244 942139 1027788 1240866 1541682 1861299 1884278 2312523 2481732 2826417 3083364 3722598 3768556 4625046 5652834 6937569 7445196 8479251 9250092 11305668 13875138 16958502 25437753 27750276 33917004 50875506 76313259 101751012 152626518 305253036