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304243968 = 2837173329
BaseRepresentation
bin10010001000100…
…110010100000000
3210012111012021010
4102020212110000
51110341301333
650105000520
710353013440
oct2210462400
9705435233
10304243968
11146812aa6
1285a83140
134b055722
142c59a120
151ba9b563
hex12226500

304243968 has 144 divisors (see below), whose sum is σ = 980138880. Its totient is φ = 81788928.

The previous prime is 304243949. The next prime is 304243981. The reversal of 304243968 is 869342403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89728 + ... + 93056.

It is an arithmetic number, because the mean of its divisors is an integer number (6806520).

Almost surely, 2304243968 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 304243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490069440).

304243968 is an abundant number, since it is smaller than the sum of its proper divisors (675894912).

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

304243968 is a wasteful number, since it uses less digits than its factorization.

304243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 304243968 is about 17442.5906332746. The cubic root of 304243968 is about 672.5749048465.

The spelling of 304243968 in words is "three hundred four million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3329 3808 4352 5376 5712 6528 6658 7616 9987 11424 13056 13316 15232 19974 22848 23303 26632 30464 39948 45696 46606 53264 56593 69909 79896 91392 93212 106528 113186 139818 159792 169779 186424 213056 226372 279636 319584 339558 372848 396151 426112 452744 559272 639168 679116 745696 792302 852224 905488 1118544 1188453 1278336 1358232 1491392 1584604 1810976 2237088 2376906 2556672 2716464 2982784 3169208 3621952 4474176 4753812 5432928 5965568 6338416 7243904 8948352 9507624 10865856 12676832 14487808 17896704 19015248 21731712 25353664 38030496 43463424 50707328 76060992 101414656 152121984 304243968