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3040304442 = 237837191213
BaseRepresentation
bin1011010100110111…
…0101110100111010
321211212212110122020
42311031311310322
522211304220232
61221404135310
7135225106230
oct26515656472
97755773566
103040304442
1113201997aa
1270a237536
13395b56816
1420bad8950
1512bda5e2c
hexb5375d3a

3040304442 has 64 divisors (see below), whose sum is σ = 7048581120. Its totient is φ = 856292544.

The previous prime is 3040304441. The next prime is 3040304479. The reversal of 3040304442 is 2444030403.

It is a happy number.

It is a super-2 number, since 2×30403044422 = 18486902200089862728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3040304441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2505828 + ... + 2507040.

It is an arithmetic number, because the mean of its divisors is an integer number (110134080).

Almost surely, 23040304442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040304442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524290560).

3040304442 is an abundant number, since it is smaller than the sum of its proper divisors (4008276678).

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

3040304442 is a wasteful number, since it uses less digits than its factorization.

3040304442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3040304442 is about 55138.9557572502. The cubic root of 3040304442 is about 1448.6796449916.

Adding to 3040304442 its reverse (2444030403), we get a palindrome (5484334845).

The spelling of 3040304442 in words is "three billion, forty million, three hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 719 1162 1213 1438 1743 2157 2426 3486 3639 4314 5033 7278 8491 10066 15099 16982 25473 30198 50946 59677 100679 119354 179031 201358 302037 358062 417739 604074 704753 835478 872147 1253217 1409506 1744294 2114259 2506434 2616441 4228518 5232882 6105029 12210058 18315087 36630174 72388201 144776402 217164603 434329206 506717407 1013434814 1520152221 3040304442