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304467968 = 212723741
BaseRepresentation
bin10010001001011…
…101000000000000
3210012220120112102
4102021131000000
51110420433333
650113445532
710354635500
oct2211350000
9705816472
10304467968
11146956322
1285b708a8
134b10367c
142c617a00
151bae2ae8
hex1225d000

304467968 has 156 divisors (see below), whose sum is σ = 745151652. Its totient is φ = 123863040.

The previous prime is 304467967. The next prime is 304467979. The reversal of 304467968 is 869764403.

It can be written as a sum of positive squares in 2 ways, for example, as 135675904 + 168792064 = 11648^2 + 12992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304467967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7426028 + ... + 7426068.

Almost surely, 2304467968 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 304467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372575826).

304467968 is an abundant number, since it is smaller than the sum of its proper divisors (440683684).

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

304467968 is an equidigital number, since it uses as much as digits as its factorization.

304467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 304467968 is about 17449.0105163588. The cubic root of 304467968 is about 672.7399257243.

The spelling of 304467968 in words is "three hundred four million, four hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 49 56 64 74 82 98 112 128 148 164 196 224 256 259 287 296 328 392 448 512 518 574 592 656 784 896 1024 1036 1148 1184 1312 1517 1568 1792 1813 2009 2048 2072 2296 2368 2624 3034 3136 3584 3626 4018 4096 4144 4592 4736 5248 6068 6272 7168 7252 8036 8288 9184 9472 10496 10619 12136 12544 14336 14504 16072 16576 18368 18944 20992 21238 24272 25088 28672 29008 32144 33152 36736 37888 41984 42476 48544 50176 58016 64288 66304 73472 74333 75776 83968 84952 97088 100352 116032 128576 132608 146944 148666 151552 167936 169904 194176 200704 232064 257152 265216 293888 297332 339808 388352 464128 514304 530432 587776 594664 679616 776704 928256 1028608 1060864 1175552 1189328 1359232 1553408 1856512 2057216 2378656 2718464 3106816 3713024 4114432 4757312 5436928 6213632 7426048 8228864 9514624 10873856 19029248 21747712 38058496 43495424 76116992 152233984 304467968