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3104355040 = 255175032269
BaseRepresentation
bin1011100100001000…
…1011001011100000
322000100101120112121
42321002023023200
522324203330130
61232013034024
7136633403533
oct27102131340
98010346477
103104355040
111353366986
12727785914
133a61c1397
1421640ca1a
15132808d7a
hexb908b2e0

3104355040 has 96 divisors (see below), whose sum is σ = 7784320320. Its totient is φ = 1165860864.

The previous prime is 3104355031. The next prime is 3104355043. The reversal of 3104355040 is 405534013.

It is a junction number, because it is equal to n+sod(n) for n = 3104354996 and 3104355014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104355043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367026 + ... + 1369294.

It is an arithmetic number, because the mean of its divisors is an integer number (81086670).

Almost surely, 23104355040 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 3104355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892160160).

3104355040 is an abundant number, since it is smaller than the sum of its proper divisors (4679965280).

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

3104355040 is a wasteful number, since it uses less digits than its factorization.

3104355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 3104355040 is about 55716.7393159363. The cubic root of 3104355040 is about 1458.7822209182.

Adding to 3104355040 its reverse (405534013), we get a palindrome (3509889053).

The spelling of 3104355040 in words is "three billion, one hundred four million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 503 544 680 1006 1360 2012 2269 2515 2720 4024 4538 5030 8048 8551 9076 10060 11345 16096 17102 18152 20120 22690 34204 36304 38573 40240 42755 45380 68408 72608 77146 80480 85510 90760 136816 154292 171020 181520 192865 273632 308584 342040 363040 385730 617168 684080 771460 1141307 1234336 1368160 1542920 2282614 3085840 4565228 5706535 6171680 9130456 11413070 18260912 19402219 22826140 36521824 38804438 45652280 77608876 91304560 97011095 155217752 182609120 194022190 310435504 388044380 620871008 776088760 1552177520 3104355040