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303134040 = 233251126959
BaseRepresentation
bin10010000100010…
…111010101011000
3210010101210201200
4102010113111120
51110100242130
650025114200
710340411466
oct2204272530
9703353650
10303134040
11146125100
1285628960
134aa57471
142c38b836
151b92c760
hex12117558

303134040 has 144 divisors (see below), whose sum is σ = 1083045600. Its totient is φ = 73476480.

The previous prime is 303133993. The next prime is 303134057. The reversal of 303134040 is 40431303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40081 + ... + 47039.

It is an arithmetic number, because the mean of its divisors is an integer number (7521150).

Almost surely, 2303134040 is an apocalyptic number.

303134040 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 303134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541522800).

303134040 is an abundant number, since it is smaller than the sum of its proper divisors (779911560).

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

303134040 is a wasteful number, since it uses less digits than its factorization.

303134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303134040 is about 17410.7449582147. The cubic root of 303134040 is about 671.7560232521.

Adding to 303134040 its reverse (40431303), we get a palindrome (343565343).

The spelling of 303134040 in words is "three hundred three million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 6959 7260 8712 10890 13918 14520 20877 21780 27836 34795 41754 43560 55672 62631 69590 76549 83508 104385 125262 139180 153098 167016 208770 229647 250524 278360 306196 313155 382745 417540 459294 501048 612392 626310 688941 765490 835080 842039 918588 1148235 1252620 1377882 1530980 1684078 1837176 2296470 2505240 2526117 2755764 3061960 3368156 3444705 4210195 4592940 5052234 5511528 6736312 6889410 7578351 8420390 9185880 10104468 12630585 13778820 15156702 16840780 20208936 25261170 27557640 30313404 33681560 37891755 50522340 60626808 75783510 101044680 151567020 303134040