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3290338338 = 2372171934649
BaseRepresentation
bin1100010000011110…
…1001010000100010
322111022100111122220
43010013221100202
523214311311323
61302255211510
7144352262100
oct30407512042
98438314586
103290338338
111439345991
12779b16b96
134058ab781
14232dc2c70
15143ce50e3
hexc41e9422

3290338338 has 96 divisors (see below), whose sum is σ = 8532216000. Its totient is φ = 838204416.

The previous prime is 3290338327. The next prime is 3290338339. The reversal of 3290338338 is 8338330923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3290338338.

It is not an unprimeable number, because it can be changed into a prime (3290338339) 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, 77638 + ... + 112286.

It is an arithmetic number, because the mean of its divisors is an integer number (88877250).

Almost surely, 23290338338 is an apocalyptic number.

3290338338 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290338338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266108000).

3290338338 is an abundant number, since it is smaller than the sum of its proper divisors (5241877662).

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

3290338338 is a wasteful number, since it uses less digits than its factorization.

3290338338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34704 (or 34697 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3290338338 is about 57361.4708493428. The cubic root of 3290338338 is about 1487.3511694231.

The spelling of 3290338338 in words is "three billion, two hundred ninety million, three hundred thirty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 49 51 57 98 102 114 119 133 147 238 266 294 323 357 399 646 714 798 833 931 969 1666 1862 1938 2261 2499 2793 4522 4998 5586 6783 13566 15827 31654 34649 47481 69298 94962 103947 207894 242543 485086 589033 658331 727629 1178066 1316662 1455258 1697801 1767099 1974993 3395602 3534198 3949986 4123231 4608317 5093403 8246462 9216634 10186806 11191627 12369693 13824951 22383254 24739386 27649902 28862617 32258219 33574881 57725234 64516438 67149762 78341389 86587851 96774657 156682778 173175702 193549314 235024167 470048334 548389723 1096779446 1645169169 3290338338