Search a number
-
+
3014826864 = 243710783857
BaseRepresentation
bin1011001110110010…
…1001101101110000
321210002221001222020
42303230221231300
522133243424424
61215054111440
7134465414460
oct26354515560
97702831866
103014826864
111307878055
127017ab580
133907a612a
14208585ba0
15129a22079
hexb3b29b70

3014826864 has 80 divisors (see below), whose sum is σ = 8984210688. Its totient is φ = 853318656.

The previous prime is 3014826823. The next prime is 3014826887. The reversal of 3014826864 is 4686284103.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5977 + ... + 77880.

Almost surely, 23014826864 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 3014826864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492105344).

3014826864 is an abundant number, since it is smaller than the sum of its proper divisors (5969383824).

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

3014826864 is a wasteful number, since it uses less digits than its factorization.

3014826864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83982 (or 83976 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3014826864 is about 54907.4390588379. The cubic root of 3014826864 is about 1444.6216709687.

The spelling of 3014826864 in words is "three billion, fourteen million, eight hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 35952 83857 167714 251571 335428 503142 586999 670856 1006284 1173998 1341712 1760997 2012568 2347996 3521994 4025136 4695992 7043988 8972699 9391984 14087976 17945398 26918097 28175952 35890796 53836194 62808893 71781592 107672388 125617786 143563184 188426679 215344776 251235572 376853358 430689552 502471144 753706716 1004942288 1507413432 3014826864