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306004468 = 227111277823
BaseRepresentation
bin10010001111010…
…100000111110100
3210022210122012211
4102033110013310
51111314120333
650210423204
710403665210
oct2217240764
9708718184
10306004468
11147805760
1286591b04
134b520b43
142c8d7940
151bce7ecd
hex123d41f4

306004468 has 48 divisors (see below), whose sum is σ = 672989184. Its totient is φ = 118268640.

The previous prime is 306004459. The next prime is 306004493. The reversal of 306004468 is 864400603.

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, 35205 + ... + 43027.

It is an arithmetic number, because the mean of its divisors is an integer number (14020608).

Almost surely, 2306004468 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 306004468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336494592).

306004468 is an abundant number, since it is smaller than the sum of its proper divisors (366984716).

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

306004468 is a wasteful number, since it uses less digits than its factorization.

306004468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7972 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 306004468 is about 17492.9833933495. The cubic root of 306004468 is about 673.8696898414.

The spelling of 306004468 in words is "three hundred six million, four thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3556 5588 7823 9779 15646 19558 31292 39116 54761 86053 109522 172106 219044 344212 602371 993521 1204742 1987042 2409484 3974084 6954647 10928731 13909294 21857462 27818588 43714924 76501117 153002234 306004468