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34094702484 = 223229832571531
BaseRepresentation
bin11111110000001100…
…111101111110010100
310021000010012100012200
4133300030331332110
51024311220434414
623355103444500
72314620121653
oct376014757624
9107003170180
1034094702484
1113506630677
1267362b6730
1332a47c3c8b
1419161b119a
15d48359109
hex7f033df94

34094702484 has 144 divisors (see below), whose sum is σ = 90640105920. Its totient is φ = 10791567360.

The previous prime is 34094702483. The next prime is 34094702507. The reversal of 34094702484 is 48420749043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34094702483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22268799 + ... + 22270329.

It is an arithmetic number, because the mean of its divisors is an integer number (629445180).

Almost surely, 234094702484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34094702484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45320052960).

34094702484 is an abundant number, since it is smaller than the sum of its proper divisors (56545403436).

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

34094702484 is a wasteful number, since it uses less digits than its factorization.

34094702484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34094702484 in words is "thirty-four billion, ninety-four million, seven hundred two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 83 87 116 166 174 249 257 261 332 348 498 514 522 747 771 996 1028 1044 1494 1531 1542 2313 2407 2988 3062 3084 4593 4626 4814 6124 7221 7453 9186 9252 9628 13779 14442 14906 18372 21331 21663 22359 27558 28884 29812 42662 43326 44399 44718 55116 63993 67077 85324 86652 88798 89436 127073 127986 133197 134154 177596 191979 254146 255972 266394 268308 381219 383958 393467 399591 508292 532788 618599 762438 767916 786934 799182 1143657 1180401 1237198 1524876 1573868 1598364 1855797 2287314 2360802 2474396 3541203 3685117 3711594 4574628 4721604 5567391 7082406 7370234 7423188 11055351 11134782 11410543 14164812 14740468 22110702 22269564 22821086 32657761 33166053 34231629 44221404 45642172 65315522 66332106 68463258 97973283 102694887 130631044 132664212 136926516 195946566 205389774 293919849 391893132 410779548 587839698 947075069 1175679396 1894150138 2841225207 3788300276 5682450414 8523675621 11364900828 17047351242 34094702484