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306396684 = 2232112312269
BaseRepresentation
bin10010010000110…
…011111000001100
3210100112120020100
4102100303320030
51111414143214
650223051100
710410220536
oct2220637014
9710476210
10306396684
11147a53400
1286740a90
134b62a519
142c99a856
151bd74309
hex12433e0c

306396684 has 108 divisors (see below), whose sum is σ = 879161920. Its totient is φ = 89812800.

The previous prime is 306396677. The next prime is 306396697. The reversal of 306396684 is 486693603.

306396684 is a `hidden beast` number, since 3 + 0 + 639 + 6 + 6 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133902 + ... + 136170.

Almost surely, 2306396684 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 306396684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439580960).

306396684 is an abundant number, since it is smaller than the sum of its proper divisors (572765236).

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

306396684 is a wasteful number, since it uses less digits than its factorization.

306396684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 306396684 is about 17504.1904697132. The cubic root of 306396684 is about 674.1574739105.

It can be divided in two parts, 3063966 and 84, that added together give a triangular number (3064050 = T2475).

The spelling of 306396684 in words is "three hundred six million, three hundred ninety-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 1023 1089 1116 1364 1452 2046 2178 2269 3069 3751 4092 4356 4538 6138 6807 7502 9076 11253 12276 13614 15004 20421 22506 24959 27228 33759 40842 45012 49918 67518 70339 74877 81684 99836 135036 140678 149754 211017 224631 274549 281356 299508 422034 449262 549098 633051 773729 823647 844068 898524 1098196 1266102 1547458 1647294 2321187 2470941 2532204 3094916 3294588 4642374 4941882 6963561 8511019 9284748 9883764 13927122 17022038 25533057 27854244 34044076 51066114 76599171 102132228 153198342 306396684