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3349616112 = 243353146297
BaseRepresentation
bin1100011110100111…
…0001010111110000
322122102220010111000
43013221301113300
523330000203422
61312213522000
7146002160433
oct30751612760
98572803430
103349616112
111469853187
12795943300
13414c64a8b
1423ac1381a
15149103cac
hexc7a715f0

3349616112 has 80 divisors (see below), whose sum is σ = 9796114080. Its totient is φ = 1095464448.

The previous prime is 3349616071. The next prime is 3349616119. The reversal of 3349616112 is 2116169433.

3349616112 is a `hidden beast` number, since 3 + 3 + 496 + 161 + 1 + 2 = 666.

It is a super-2 number, since 2×33496161122 = 22439856195539993088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349616119) by changing a digit.

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, 50253 + ... + 96044.

It is an arithmetic number, because the mean of its divisors is an integer number (122451426).

Almost surely, 23349616112 is an apocalyptic number.

It is an amenable number.

3349616112 is an abundant number, since it is smaller than the sum of its proper divisors (6446497968).

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

3349616112 is a wasteful number, since it uses less digits than its factorization.

3349616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146367 (or 146355 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3349616112 is about 57875.8681317179. The cubic root of 3349616112 is about 1496.2299564529.

The spelling of 3349616112 in words is "three billion, three hundred forty-nine million, six hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 146297 292594 438891 585188 877782 1170376 1316673 1755564 2340752 2633346 3511128 3950019 5266692 7022256 7753741 7900038 10533384 15507482 15800076 21066768 23261223 31014964 31600152 46522446 62029928 63200304 69783669 93044892 124059856 139567338 186089784 209351007 279134676 372179568 418702014 558269352 837404028 1116538704 1674808056 3349616112