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9034380108 = 2232131710111243
BaseRepresentation
bin10000110100111110…
…11011001101001100
3212022121210001122200
420122133123031030
5122000300130413
64052250041500
7436610651415
oct103237331514
925277701580
109034380108
113916743546
121901719290
13b0c929b60
14619c0480c
1537d21d573
hex21a7db34c

9034380108 has 144 divisors (see below), whose sum is σ = 26300435616. Its totient is φ = 2590156800.

The previous prime is 9034380107. The next prime is 9034380119. The reversal of 9034380108 is 8010834309.

It is a super-3 number, since 3×90343801083 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9034380107) 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, 797935 + ... + 809177.

It is an arithmetic number, because the mean of its divisors is an integer number (182641914).

Almost surely, 29034380108 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 9034380108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13150217808).

9034380108 is an abundant number, since it is smaller than the sum of its proper divisors (17266055508).

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

9034380108 is a wasteful number, since it uses less digits than its factorization.

9034380108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9034380108 is about 95049.3561682561. The cubic root of 9034380108 is about 2082.7291059567.

The spelling of 9034380108 in words is "nine billion, thirty-four million, three hundred eighty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 101 102 117 153 156 202 204 221 234 303 306 404 442 468 606 612 663 884 909 1212 1313 1326 1717 1818 1989 2626 2652 3434 3636 3939 3978 5151 5252 6868 7878 7956 10302 11243 11817 15453 15756 20604 22321 22486 23634 30906 33729 44642 44972 47268 61812 66963 67458 89284 101187 133926 134916 146159 191131 200889 202374 267852 292318 382262 401778 404748 438477 573393 584636 764524 803556 876954 1135543 1146786 1315431 1720179 1753908 2271086 2293572 2484703 2630862 3406629 3440358 4542172 4969406 5261724 6813258 6880716 7454109 9938812 10219887 13626516 14762059 14908218 19304231 20439774 22362327 29524118 29816436 38608462 40879548 44286177 44724654 57912693 59048236 77216924 88572354 89449308 115825386 132858531 173738079 177144708 231650772 250955003 265717062 347476158 501910006 531434124 694952316 752865009 1003820012 1505730018 2258595027 3011460036 4517190054 9034380108