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303042096 = 243271915823
BaseRepresentation
bin10010000100000…
…000111000110000
3210010020010121100
4102010000320300
51110034321341
650023124400
710336546440
oct2204007060
9703203540
10303042096
11146072015
12855a3700
134aa24666
142c366120
151b9103b6
hex12100e30

303042096 has 120 divisors (see below), whose sum is σ = 1020331520. Its totient is φ = 82021248.

The previous prime is 303042079. The next prime is 303042097. The reversal of 303042096 is 690240303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303042097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11241 + ... + 27063.

Almost surely, 2303042096 is an apocalyptic number.

303042096 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 303042096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510165760).

303042096 is an abundant number, since it is smaller than the sum of its proper divisors (717289424).

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

303042096 is a wasteful number, since it uses less digits than its factorization.

303042096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15863 (or 15854 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 303042096 is about 17408.1043195404. The cubic root of 303042096 is about 671.6880993051.

Adding to 303042096 its reverse (690240303), we get a palindrome (993282399).

It can be divided in two parts, 30304 and 2096, that added together give a square (32400 = 1802).

The spelling of 303042096 in words is "three hundred three million, forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 15823 19152 31646 47469 63292 94938 110761 126584 142407 189876 221522 253168 284814 300637 332283 379752 443044 569628 601274 664566 759504 886088 901911 996849 1139256 1202548 1329132 1772176 1803822 1993698 2104459 2278512 2405096 2658264 2705733 3607644 3987396 4208918 4810192 5316528 5411466 6313377 7215288 7974792 8417836 10822932 12626754 14430576 15949584 16835672 18940131 21645864 25253508 33671344 37880262 43291728 50507016 75760524 101014032 151521048 303042096