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3342109248 = 263671633
BaseRepresentation
bin1100011100110100…
…1000101001000000
322121220202202000000
43013031020221000
523321034443443
61311345000000
7145551313512
oct30715105100
98556682000
103342109248
111465596165
12793323000
13413536c4a
14239c1bbb2
1514861e8d3
hexc7348a40

3342109248 has 98 divisors (see below), whose sum is σ = 9943587174. Its totient is φ = 1114020864.

The previous prime is 3342109247. The next prime is 3342109261. The reversal of 3342109248 is 8429012433.

It can be written as a sum of positive squares in only one way, i.e., 2320156224 + 1021953024 = 48168^2 + 31968^2 .

It is a super-2 number, since 2×33421092482 = 22339388451134251008, which contains 22 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 (3342109241) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10840 + ... + 82472.

Almost surely, 23342109248 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 3342109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971793587).

3342109248 is an abundant number, since it is smaller than the sum of its proper divisors (6601477926).

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

3342109248 is an frugal number, since it uses more digits than its factorization.

3342109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71663 (or 71638 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3342109248 is about 57810.9786113330. The cubic root of 3342109248 is about 1495.1113809106. Note that the first 3 decimals are identical.

The spelling of 3342109248 in words is "three billion, three hundred forty-two million, one hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 71633 143266 214899 286532 429798 573064 644697 859596 1146128 1289394 1719192 1934091 2292256 2578788 3438384 3868182 4584512 5157576 5802273 6876768 7736364 10315152 11604546 13753536 15472728 17406819 20630304 23209092 30945456 34813638 41260608 46418184 52220457 61890912 69627276 92836368 104440914 123781824 139254552 185672736 208881828 278509104 371345472 417763656 557018208 835527312 1114036416 1671054624 3342109248