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300430476468 = 22345318799311
BaseRepresentation
bin1000101111100110000…
…11010100010010110100
31001201110111221111110000
410113303003110102310
514410240200221333
6350003231431300
730463642625643
oct4276303242264
91051414844400
10300430476468
11106459198681
124a285685530
132243b081005
141078039b35a
157c35392713
hex45f30d44b4

300430476468 has 120 divisors (see below), whose sum is σ = 800715041280. Its totient is φ = 98191154880.

The previous prime is 300430476457. The next prime is 300430476499. The reversal of 300430476468 is 864674034003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32261533 + ... + 32270843.

It is an arithmetic number, because the mean of its divisors is an integer number (6672625344).

Almost surely, 2300430476468 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 300430476468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400357520640).

300430476468 is an abundant number, since it is smaller than the sum of its proper divisors (500284564812).

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

300430476468 is a wasteful number, since it uses less digits than its factorization.

300430476468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 300430476468 in words is "three hundred billion, four hundred thirty million, four hundred seventy-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1879 1908 2862 3758 4293 5637 5724 7516 8586 9311 11274 16911 17172 18622 22548 27933 33822 37244 50733 55866 67644 83799 99587 101466 111732 152199 167598 199174 202932 251397 298761 304398 335196 398348 493483 502794 597522 608796 754191 896283 986966 1005588 1195044 1480449 1508382 1792566 1973932 2688849 2960898 3016764 3585132 4441347 5377698 5921796 8066547 8882694 10755396 13324041 16133094 17495369 17765388 26648082 32266188 34990738 39972123 52486107 53296164 69981476 79944246 104972214 157458321 159888492 209944428 314916642 472374963 629833284 927254557 944749926 1417124889 1854509114 1889499852 2781763671 2834249778 3709018228 5563527342 5668499556 8345291013 11127054684 16690582026 25035873039 33381164052 50071746078 75107619117 100143492156 150215238234 300430476468