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34410009970 = 2572343643773
BaseRepresentation
bin100000000010111111…
…110001010101110010
310021211002111121202201
4200002333301111302
51030432430304340
623450245533414
72325466154530
oct400277612562
9107732447681
1034410009970
111365860a876
126803a1426a
133324c2135b
14194600b150
15d65d8d79a
hex802ff1572

34410009970 has 128 divisors (see below), whose sum is σ = 75797213184. Its totient is φ = 10990957824.

The previous prime is 34410009929. The next prime is 34410009971. The reversal of 34410009970 is 7990001443.

It is a super-2 number, since 2×344100099702 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34410009971) 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 63 ways as a sum of consecutive naturals, for example, 44514504 + ... + 44515276.

It is an arithmetic number, because the mean of its divisors is an integer number (592165728).

Almost surely, 234410009970 is an apocalyptic number.

34410009970 is an abundant number, since it is smaller than the sum of its proper divisors (41387203214).

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

34410009970 is a wasteful number, since it uses less digits than its factorization.

34410009970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 34410009970 in words is "thirty-four billion, four hundred ten million, nine thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 23 35 43 46 70 86 115 161 215 230 301 322 430 602 643 773 805 989 1286 1505 1546 1610 1978 3010 3215 3865 4501 4945 5411 6430 6923 7730 9002 9890 10822 13846 14789 17779 22505 27055 27649 29578 33239 34615 35558 45010 54110 55298 66478 69230 73945 88895 103523 124453 138245 147890 166195 177790 193543 207046 232673 248906 276490 332390 387086 465346 497039 517615 622265 635927 764497 967715 994078 1035230 1163365 1244530 1271854 1528994 1935430 2326730 2485195 3179635 3479273 3822485 4451489 4970390 5351479 6359270 6958546 7644970 8902978 10702958 11431897 17396365 21372677 22257445 22863794 26757395 34792730 42745354 44514890 53514790 57159485 80023279 106863385 114318970 149608739 160046558 213726770 299217478 400116395 491571571 748043695 800232790 983143142 1496087390 2457857855 3441000997 4915715710 6882001994 17205004985 34410009970