Search a number
-
+
3499717312 = 267131931627
BaseRepresentation
bin1101000010011001…
…0111001011000000
3100000220100001121201
43100212113023000
524131411423222
61335135030544
7152504051320
oct32046271300
910026301551
103499717312
111536554463
1281806b454
1343a09aa60
14252b27280
151573a3427
hexd09972c0

3499717312 has 112 divisors (see below), whose sum is σ = 8997533440. Its totient is φ = 1311593472.

The previous prime is 3499717267. The next prime is 3499717343. The reversal of 3499717312 is 2137179943.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94843 + ... + 126469.

It is an arithmetic number, because the mean of its divisors is an integer number (80335120).

Almost surely, 23499717312 is an apocalyptic number.

3499717312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3499717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498766720).

3499717312 is an abundant number, since it is smaller than the sum of its proper divisors (5497816128).

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

3499717312 is a wasteful number, since it uses less digits than its factorization.

3499717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31678 (or 31668 counting only the distinct ones).

The product of its digits is 285768, while the sum is 46.

The square root of 3499717312 is about 59158.4086330929. The cubic root of 3499717312 is about 1518.2536083009.

The spelling of 3499717312 in words is "three billion, four hundred ninety-nine million, seven hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1456 1729 1976 2128 2912 3458 3952 4256 5824 6916 7904 8512 13832 15808 27664 31627 55328 63254 110656 126508 221389 253016 411151 442778 506032 600913 822302 885556 1012064 1201826 1644604 1771112 2024128 2403652 2878057 3289208 3542224 4206391 4807304 5756114 6578416 7084448 7811869 8412782 9614608 11512228 13156832 14168896 15623738 16825564 19229216 23024456 26313664 31247476 33651128 38458432 46048912 54683083 62494952 67302256 92097824 109366166 124989904 134604512 184195648 218732332 249979808 269209024 437464664 499959616 874929328 1749858656 3499717312