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304942968 = 233411179239
BaseRepresentation
bin10010001011010…
…000111101111000
3210020210201010000
4102023100331320
51111031133333
650131553000
710361654361
oct2213207570
9706721100
10304942968
11147150190
128615b760
134b23b935
142c6dcb68
151bb88713
hex122d0f78

304942968 has 160 divisors (see below), whose sum is σ = 940896000. Its totient is φ = 91506240.

The previous prime is 304942961. The next prime is 304942969. The reversal of 304942968 is 869249403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304942961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1275793 + ... + 1276031.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2304942968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304942968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470448000).

304942968 is an abundant number, since it is smaller than the sum of its proper divisors (635953032).

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

304942968 is a wasteful number, since it uses less digits than its factorization.

304942968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 304942968 is about 17462.6162988253. The cubic root of 304942968 is about 673.0895907848.

The spelling of 304942968 in words is "three hundred four million, nine hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 179 198 216 239 264 297 324 358 396 478 537 594 648 716 717 792 891 956 1074 1188 1432 1434 1611 1782 1912 1969 2148 2151 2376 2629 2868 3222 3564 3938 4296 4302 4833 5258 5736 5907 6444 6453 7128 7876 7887 8604 9666 10516 11814 12888 12906 14499 15752 15774 17208 17721 19332 19359 21032 23628 23661 25812 28998 31548 35442 38664 38718 42781 47256 47322 51624 53163 57996 63096 70884 70983 77436 85562 94644 106326 115992 128343 141768 141966 154872 159489 171124 189288 212652 212949 256686 283932 318978 342248 385029 425304 425898 470591 513372 567864 637956 770058 851796 941182 1026744 1155087 1275912 1411773 1540116 1703592 1882364 2310174 2823546 3080232 3465261 3764728 4235319 4620348 5647092 6930522 8470638 9240696 11294184 12705957 13861044 16941276 25411914 27722088 33882552 38117871 50823828 76235742 101647656 152471484 304942968