Search a number
-
+
3203660768 = 257211281661
BaseRepresentation
bin1011111011110011…
…1111101111100000
322021021020211101112
42332330333233200
523030114121033
61245521322452
7142250444600
oct27674775740
98237224345
103203660768
1113a4423830
12754a96428
133c0950b79
1422569cc00
1513b3c2c48
hexbef3fbe0

3203660768 has 144 divisors (see below), whose sum is σ = 8044586928. Its totient is φ = 1241856000.

The previous prime is 3203660749. The next prime is 3203660773. The reversal of 3203660768 is 8670663023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4846358 + ... + 4847018.

It is an arithmetic number, because the mean of its divisors is an integer number (55865187).

Almost surely, 23203660768 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 3203660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022293464).

3203660768 is an abundant number, since it is smaller than the sum of its proper divisors (4840926160).

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

3203660768 is a wasteful number, since it uses less digits than its factorization.

3203660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 3203660768 is about 56600.8901696784. The cubic root of 3203660768 is about 1474.1743180030.

The spelling of 3203660768 in words is "three billion, two hundred three million, six hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 281 308 352 392 539 562 616 661 784 1078 1124 1232 1322 1568 1967 2156 2248 2464 2644 3091 3934 4312 4496 4627 5288 6182 7271 7868 8624 8992 9254 10576 12364 13769 14542 15736 17248 18508 21152 21637 24728 27538 29084 31472 32389 37016 43274 49456 50897 55076 58168 62944 64778 74032 86548 98912 101794 110152 116336 129556 148064 151459 173096 185741 203588 220304 232672 259112 302918 346192 356279 371482 407176 440608 518224 605836 692384 712558 742964 814352 1036448 1211672 1300187 1425116 1485928 1628704 2043151 2423344 2600374 2850232 2971856 4086302 4846688 5200748 5700464 5943712 8172604 9101309 10401496 11400928 14302057 16345208 18202618 20802992 28604114 32690416 36405236 41605984 57208228 65380832 72810472 100114399 114416456 145620944 200228798 228832912 291241888 400457596 457665824 800915192 1601830384 3203660768