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34171106520 = 23351573495197
BaseRepresentation
bin11111110100110000…
…011011010011011000
310021012102222001211210
4133310300123103120
51024440300402040
623410433223120
72316535420155
oct376460332330
9107172861753
1034171106520
1113545776101
126757a01aa0
1332b7595675
1419223bd22c
15d4edec480
hex7f4c1b4d8

34171106520 has 128 divisors (see below), whose sum is σ = 103481784000. Its totient is φ = 9026574336.

The previous prime is 34171106507. The next prime is 34171106521. The reversal of 34171106520 is 2560117143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34171106521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572562 + ... + 6577758.

Almost surely, 234171106520 is an apocalyptic number.

34171106520 is a gapful number since it is divisible by the number (30) 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 34171106520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51740892000).

34171106520 is an abundant number, since it is smaller than the sum of its proper divisors (69310677480).

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

34171106520 is a wasteful number, since it uses less digits than its factorization.

34171106520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 34171106520 in words is "thirty-four billion, one hundred seventy-one million, one hundred six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 349 471 628 698 785 942 1047 1256 1396 1570 1745 1884 2094 2355 2792 3140 3490 3768 4188 4710 5197 5235 6280 6980 8376 9420 10394 10470 13960 15591 18840 20788 20940 25985 31182 41576 41880 51970 54793 62364 77955 103940 109586 124728 155910 164379 207880 219172 273965 311820 328758 438344 547930 623640 657516 815929 821895 1095860 1315032 1631858 1643790 1813753 2191720 2447787 3263716 3287580 3627506 4079645 4895574 5441259 6527432 6575160 7255012 8159290 9068765 9791148 10882518 12238935 14510024 16318580 18137530 19582296 21765036 24477870 27206295 32637160 36275060 43530072 48955740 54412590 72550120 97911480 108825180 217650360 284759221 569518442 854277663 1139036884 1423796105 1708555326 2278073768 2847592210 3417110652 4271388315 5695184420 6834221304 8542776630 11390368840 17085553260 34171106520