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3104214144 = 27317475523
BaseRepresentation
bin1011100100000110…
…1000110010000000
322000100010102021020
42321001220302000
522324134323034
61232010025440
7136632246003
oct27101506200
98010112236
103104214144
111353280039
12727718280
133a6172205
142163b353a
151327cc249
hexb9068c80

3104214144 has 64 divisors (see below), whose sum is σ = 8730620640. Its totient is φ = 973869056.

The previous prime is 3104214133. The next prime is 3104214149. The reversal of 3104214144 is 4414124013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31042141442 = 19272290903619305472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3104214149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231234 + ... + 244289.

Almost surely, 23104214144 is an apocalyptic number.

3104214144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3104214144 is an abundant number, since it is smaller than the sum of its proper divisors (5626406496).

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

3104214144 is a wasteful number, since it uses less digits than its factorization.

3104214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475557 (or 475545 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3104214144 is about 55715.4749059900. The cubic root of 3104214144 is about 1458.7601508815.

Adding to 3104214144 its reverse (4414124013), we get a palindrome (7518338157).

The spelling of 3104214144 in words is "three billion, one hundred four million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 475523 951046 1426569 1902092 2853138 3804184 5706276 7608368 8083891 11412552 15216736 16167782 22825104 24251673 30433472 32335564 45650208 48503346 60866944 64671128 91300416 97006692 129342256 182600832 194013384 258684512 388026768 517369024 776053536 1034738048 1552107072 3104214144