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34768247808 = 210371616827
BaseRepresentation
bin100000011000010110…
…010101110000000000
310022202001120222200210
4200120112111300000
51032201132412213
623550004114120
72340406141650
oct403026256000
9108661528623
1034768247808
11138218511a8
1268a3995940
1333811cccc8
14197b820360
15d875530c3
hex818595c00

34768247808 has 88 divisors (see below), whose sum is σ = 105908701312. Its totient is φ = 9933778944.

The previous prime is 34768247807. The next prime is 34768247809. The reversal of 34768247808 is 80874286743.

It is an interprime number because it is at equal distance from previous prime (34768247807) and next prime (34768247809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768247803) 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, 786910 + ... + 829917.

Almost surely, 234768247808 is an apocalyptic number.

It is an amenable number.

34768247808 is an abundant number, since it is smaller than the sum of its proper divisors (71140453504).

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

34768247808 is a wasteful number, since it uses less digits than its factorization.

34768247808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616857 (or 1616839 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 34768247808 in words is "thirty-four billion, seven hundred sixty-eight million, two hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 1616827 3233654 4850481 6467308 9700962 11317789 12934616 19401924 22635578 25869232 33953367 38803848 45271156 51738464 67906734 77607696 90542312 103476928 135813468 155215392 181084624 206953856 271626936 310430784 362169248 413907712 543253872 620861568 724338496 827815424 1086507744 1241723136 1448676992 1655630848 2173015488 2483446272 2897353984 4346030976 4966892544 5794707968 8692061952 11589415936 17384123904 34768247808