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307136664 = 233323211293
BaseRepresentation
bin10010010011101…
…000100010011000
3210101221011022000
4102103220202120
51112111333124
650251001000
710416422112
oct2223504230
9711834260
10307136664
1114840935a
1286a39160
134b829293
142cb103b2
151be6d6c9
hex124e8898

307136664 has 128 divisors (see below), whose sum is σ = 897523200. Its totient is φ = 97130880.

The previous prime is 307136663. The next prime is 307136677. The reversal of 307136664 is 466631703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307136663) 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 31 ways as a sum of consecutive naturals, for example, 1048102 + ... + 1048394.

It is an arithmetic number, because the mean of its divisors is an integer number (7011900).

Almost surely, 2307136664 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 307136664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448761600).

307136664 is an abundant number, since it is smaller than the sum of its proper divisors (590386536).

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

307136664 is a wasteful number, since it uses less digits than its factorization.

307136664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 307136664 is about 17525.3149472413. The cubic root of 307136664 is about 674.6997578291.

The spelling of 307136664 in words is "three hundred seven million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 211 216 276 293 414 422 552 586 621 633 828 844 879 1172 1242 1266 1656 1688 1758 1899 2344 2484 2532 2637 3516 3798 4853 4968 5064 5274 5697 6739 7032 7596 7911 9706 10548 11394 13478 14559 15192 15822 19412 20217 21096 22788 26956 29118 31644 38824 40434 43677 45576 53912 58236 60651 61823 63288 80868 87354 116472 121302 123646 131031 161736 174708 181953 185469 242604 247292 262062 349416 363906 370938 485208 494584 524124 556407 727812 741876 1048248 1112814 1421929 1455624 1483752 1669221 2225628 2843858 3338442 4265787 4451256 5687716 6676884 8531574 11375432 12797361 13353768 17063148 25594722 34126296 38392083 51189444 76784166 102378888 153568332 307136664