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305096088 = 233114171397
BaseRepresentation
bin10010001011110…
…110010110011000
3210021002111011010
4102023312112120
51111101033323
650135133520
710363162653
oct2213662630
9707074133
10305096088
11147245230
12862142a0
134b29353b
142c73c89a
151bbb8c93
hex122f6598

305096088 has 128 divisors (see below), whose sum is σ = 866557440. Its totient is φ = 88704000.

The previous prime is 305096087. The next prime is 305096111. The reversal of 305096088 is 880690503.

It is a Cunningham number, because it is equal to 174672-1.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305096087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768306 + ... + 768702.

It is an arithmetic number, because the mean of its divisors is an integer number (6769980).

Almost surely, 2305096088 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 305096088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433278720).

305096088 is an abundant number, since it is smaller than the sum of its proper divisors (561461352).

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

305096088 is a wasteful number, since it uses less digits than its factorization.

305096088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 305096088 is about 17466.9999713746. Note that the first 4 decimals coincide. The cubic root of 305096088 is about 673.2022306809.

The spelling of 305096088 in words is "three hundred five million, ninety-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 71 82 88 123 132 142 164 213 246 264 284 328 397 426 451 492 568 781 794 852 902 984 1191 1353 1562 1588 1704 1804 2343 2382 2706 2911 3124 3176 3608 4367 4686 4764 5412 5822 6248 8733 8734 9372 9528 10824 11644 13101 16277 17466 17468 18744 23288 26202 28187 32021 32554 34932 34936 48831 52404 56374 64042 65108 69864 84561 96063 97662 104808 112748 128084 130216 169122 179047 192126 195324 225496 256168 310057 338244 358094 384252 390648 537141 620114 676488 716188 768504 930171 1074282 1155667 1240228 1432376 1860342 2148564 2311334 2480456 3467001 3720684 4297128 4622668 6934002 7441368 9245336 12712337 13868004 25424674 27736008 38137011 50849348 76274022 101698696 152548044 305096088