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3778230768 = 243136790371
BaseRepresentation
bin1110000100110011…
…0011100111110000
3100202022102000020220
43201030303213300
530214211341033
61422524333040
7162425301024
oct34114634760
910668360226
103778230768
111669792774
128953a4180
134829b4910
1427bb06384
15171a6abb3
hexe13339f0

3778230768 has 80 divisors (see below), whose sum is σ = 10668233856. Its totient is φ = 1145168640.

The previous prime is 3778230767. The next prime is 3778230779. The reversal of 3778230768 is 8670328773.

3778230768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3778230768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778230763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3378 + ... + 86993.

Almost surely, 23778230768 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 3778230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334116928).

3778230768 is an abundant number, since it is smaller than the sum of its proper divisors (6890003088).

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

3778230768 is a wasteful number, since it uses less digits than its factorization.

3778230768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90462 (or 90456 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The square root of 3778230768 is about 61467.3146314364. The cubic root of 3778230768 is about 1557.5051575293.

The spelling of 3778230768 in words is "three billion, seven hundred seventy-eight million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 10452 13936 20904 41808 90371 180742 271113 361484 542226 722968 1084452 1174823 1445936 2168904 2349646 3524469 4337808 4699292 6054857 7048938 9398584 12109714 14097876 18164571 18797168 24219428 28195752 36329142 48438856 56391504 72658284 78713141 96877712 145316568 157426282 236139423 290633136 314852564 472278846 629705128 944557692 1259410256 1889115384 3778230768