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306307404 = 2232133143491
BaseRepresentation
bin10010010000011…
…110000101001100
3210100101000202200
4102100132011030
51111403314104
650221121500
710406366334
oct2220360514
9710330680
10306307404
111479a2317
12866b9290
134b5c89b0
142c9760c4
151bd57b39
hex1241e14c

306307404 has 144 divisors (see below), whose sum is σ = 882545664. Its totient is φ = 88905600.

The previous prime is 306307403. The next prime is 306307453. The reversal of 306307404 is 404703603.

It is not an unprimeable number, because it can be changed into a prime (306307403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623599 + ... + 624089.

Almost surely, 2306307404 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 306307404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441272832).

306307404 is an abundant number, since it is smaller than the sum of its proper divisors (576238260).

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

306307404 is a wasteful number, since it uses less digits than its factorization.

306307404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 306307404 is about 17501.6400374365. The cubic root of 306307404 is about 674.0919873159.

The spelling of 306307404 in words is "three hundred six million, three hundred seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 43 52 62 78 86 93 117 124 129 156 172 186 234 258 279 372 387 403 468 491 516 558 559 774 806 982 1116 1118 1209 1333 1473 1548 1612 1677 1964 2236 2418 2666 2946 3354 3627 3999 4419 4836 5031 5332 5892 6383 6708 7254 7998 8838 10062 11997 12766 14508 15221 15996 17329 17676 19149 20124 21113 23994 25532 30442 34658 38298 42226 45663 47988 51987 57447 60884 63339 69316 76596 84452 91326 103974 114894 126678 136989 155961 182652 190017 197873 207948 229788 253356 273978 274469 311922 380034 395746 547956 548938 593619 623844 654503 760068 791492 823407 1097876 1187238 1309006 1646814 1780857 1963509 2374476 2470221 2618012 3293628 3561714 3927018 4940442 5890527 7123428 7854036 8508539 9880884 11781054 17017078 23562108 25525617 34034156 51051234 76576851 102102468 153153702 306307404