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300512968 = 2371953732
BaseRepresentation
bin10001111010010…
…111011011001000
3202221110122021221
4101322113123020
51103412403333
645453011424
710306214050
oct2172273310
9687418257
10300512968
111446a4928
1284783b74
134a34a432
142bca8560
151b5b0d2d
hex11e976c8

300512968 has 96 divisors (see below), whose sum is σ = 700228800. Its totient is φ = 118070784.

The previous prime is 300512959. The next prime is 300512983. The reversal of 300512968 is 869215003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4116580 + ... + 4116652.

It is an arithmetic number, because the mean of its divisors is an integer number (7294050).

Almost surely, 2300512968 is an apocalyptic number.

300512968 is a gapful number since it is divisible by the number (38) 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 300512968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350114400).

300512968 is an abundant number, since it is smaller than the sum of its proper divisors (399715832).

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

300512968 is a wasteful number, since it uses less digits than its factorization.

300512968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 300512968 is about 17335.3098616667. The cubic root of 300512968 is about 669.8142857964.

The spelling of 300512968 in words is "three hundred million, five hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 73 76 106 133 146 152 212 266 292 371 424 511 532 584 742 1007 1022 1064 1387 1484 2014 2044 2774 2968 3869 4028 4088 5329 5548 7049 7738 8056 9709 10658 11096 14098 15476 19418 21316 27083 28196 30952 37303 38836 42632 54166 56392 73511 74606 77672 101251 108332 147022 149212 202502 216664 282437 294044 298424 405004 514577 564874 588088 708757 810008 1029154 1129748 1417514 1977059 2058308 2259496 2835028 3954118 4116616 5366303 5670056 7908236 10732606 15816472 21465212 37564121 42930424 75128242 150256484 300512968