Search a number
-
+
308470656 = 27313611013
BaseRepresentation
bin10010011000101…
…110001110000000
3210111102221012010
4102120232032000
51112432030111
650335332520
710433646234
oct2230561600
9714387163
10308470656
1114913a62a
1287381140
134bba5520
142cd7a5c4
151c133aa6
hex1262e380

308470656 has 128 divisors (see below), whose sum is σ = 897755040. Its totient is φ = 93265920.

The previous prime is 308470649. The next prime is 308470667. The reversal of 308470656 is 656074803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3084706562 = 190308291226140672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 304006 + ... + 305018.

Almost surely, 2308470656 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 308470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448877520).

308470656 is an abundant number, since it is smaller than the sum of its proper divisors (589284384).

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

308470656 is a wasteful number, since it uses less digits than its factorization.

308470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 308470656 is about 17563.3327133548. The cubic root of 308470656 is about 675.6751587509.

The spelling of 308470656 in words is "three hundred eight million, four hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 183 192 208 244 312 366 384 416 488 624 732 793 832 976 1013 1248 1464 1586 1664 1952 2026 2379 2496 2928 3039 3172 3904 4052 4758 4992 5856 6078 6344 7808 8104 9516 11712 12156 12688 13169 16208 19032 23424 24312 25376 26338 32416 38064 39507 48624 50752 52676 61793 64832 76128 79014 97248 101504 105352 123586 129664 152256 158028 185379 194496 210704 247172 304512 316056 370758 388992 421408 494344 632112 741516 803309 842816 988688 1264224 1483032 1606618 1685632 1977376 2409927 2528448 2966064 3213236 3954752 4819854 5056896 5932128 6426472 7909504 9639708 11864256 12852944 19279416 23728512 25705888 38558832 51411776 77117664 102823552 154235328 308470656