Search a number
-
+
3238156768 = 257211197953
BaseRepresentation
bin1100000100000010…
…0101100111100000
322100200011102000011
43001000211213200
523112432004033
61253152534304
7143146610200
oct30100454740
98320142004
103238156768
111411945120
12764551394
133c7b3b3c2
1422a0bc400
1513e438ccd
hexc10259e0

3238156768 has 144 divisors (see below), whose sum is σ = 8139734064. Its totient is φ = 1253898240.

The previous prime is 3238156627. The next prime is 3238156777. The reversal of 3238156768 is 8676518323.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 23 ways as a sum of consecutive naturals, for example, 3397380 + ... + 3398332.

It is an arithmetic number, because the mean of its divisors is an integer number (56525931).

Almost surely, 23238156768 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 3238156768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069867032).

3238156768 is an abundant number, since it is smaller than the sum of its proper divisors (4901577296).

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

3238156768 is a wasteful number, since it uses less digits than its factorization.

3238156768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1170 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 3238156768 is about 56904.8044368839. The cubic root of 3238156768 is about 1479.4465863686.

The spelling of 3238156768 in words is "three billion, two hundred thirty-eight million, one hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 197 224 308 352 392 394 539 616 784 788 953 1078 1232 1379 1568 1576 1906 2156 2167 2464 2758 3152 3812 4312 4334 5516 6304 6671 7624 8624 8668 9653 10483 11032 13342 15169 15248 17248 17336 19306 20966 22064 26684 30338 30496 34672 38612 41932 44128 46697 53368 60676 69344 73381 77224 83864 93394 106183 106736 121352 146762 154448 167728 186788 187741 212366 213472 242704 293524 308896 335456 373576 375482 424732 485408 513667 587048 747152 750964 849464 1027334 1174096 1314187 1494304 1501928 1698928 2054668 2065151 2348192 2628374 3003856 3397856 4109336 4130302 5256748 6007712 8218672 8260604 9199309 10513496 14456057 16437344 16521208 18398618 21026992 28912114 33042416 36797236 42053984 57824228 66084832 73594472 101192399 115648456 147188944 202384798 231296912 294377888 404769596 462593824 809539192 1619078384 3238156768