Search a number
-
+
3486814688 = 257151103087
BaseRepresentation
bin1100111111010100…
…1001000111100000
3100000000001112112202
43033311021013200
524120111032223
61333554312332
7152256302330
oct31765110740
910000045482
103486814688
11152a241535
128138886a8
13437500c76
142511290c0
151561a5428
hexcfd491e0

3486814688 has 48 divisors (see below), whose sum is σ = 7897365504. Its totient is φ = 1484438400.

The previous prime is 3486814687. The next prime is 3486814693. The reversal of 3486814688 is 8864186843.

3486814688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486814687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17720 + ... + 85367.

It is an arithmetic number, because the mean of its divisors is an integer number (164528448).

Almost surely, 23486814688 is an apocalyptic number.

It is an amenable number.

3486814688 is an abundant number, since it is smaller than the sum of its proper divisors (4410550816).

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

3486814688 is a wasteful number, since it uses less digits than its factorization.

3486814688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103255 (or 103247 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 56.

The square root of 3486814688 is about 59049.2564559453. The cubic root of 3486814688 is about 1516.3854975355.

The spelling of 3486814688 in words is "three billion, four hundred eighty-six million, eight hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 1057 1208 2114 2416 4228 4832 8456 16912 33824 103087 206174 412348 721609 824696 1443218 1649392 2886436 3298784 5772872 11545744 15566137 23091488 31132274 62264548 108962959 124529096 217925918 249058192 435851836 498116384 871703672 1743407344 3486814688