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9438038340 = 22351961135721
BaseRepresentation
bin10001100101000110…
…10000100101000100
3220100202100000122120
420302203100211010
5123312114211330
64200305525540
7452612000523
oct106243204504
926322300576
109438038340
114003587995
1219b49438b0
13b7544c593
1465767c4ba
153a38a5c10
hex2328d0944

9438038340 has 96 divisors (see below), whose sum is σ = 28273607040. Its totient is φ = 2345241600.

The previous prime is 9438038333. The next prime is 9438038353. The reversal of 9438038340 is 438308349.

It is a junction number, because it is equal to n+sod(n) for n = 9438038292 and 9438038301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680 + ... + 137400.

It is an arithmetic number, because the mean of its divisors is an integer number (294516740).

Almost surely, 29438038340 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 9438038340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136803520).

9438038340 is an abundant number, since it is smaller than the sum of its proper divisors (18835568700).

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

9438038340 is a wasteful number, since it uses less digits than its factorization.

9438038340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135813 (or 135811 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 9438038340 is about 97149.5668544127. The cubic root of 9438038340 is about 2113.2972070923.

The spelling of 9438038340 in words is "nine billion, four hundred thirty-eight million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 5795 6954 11590 13908 17385 23180 34770 69540 135721 271442 407163 542884 678605 814326 1357210 1628652 2035815 2578699 2714420 4071630 5157398 7736097 8143260 8278981 10314796 12893495 15472194 16557962 24836943 25786990 30944388 33115924 38680485 41394905 49673886 51573980 77360970 82789810 99347772 124184715 154721940 157300639 165579620 248369430 314601278 471901917 496738860 629202556 786503195 943803834 1573006390 1887607668 2359509585 3146012780 4719019170 9438038340