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3041401410 = 2325149337673
BaseRepresentation
bin1011010101001000…
…0001101001000010
321211221221012101200
42311102001221002
522212044321120
61221443442030
7135240325335
oct26522015102
97757835350
103041401410
111320878993
1270a686316
1339614bc08
1420bd0261c
1512c020e90
hexb5481a42

3041401410 has 96 divisors (see below), whose sum is σ = 7996201200. Its totient is φ = 802013184.

The previous prime is 3041401373. The next prime is 3041401423. The reversal of 3041401410 is 141041403.

It can be written as a sum of positive squares in 8 ways, for example, as 246270249 + 2795131161 = 15693^2 + 52869^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4518834 + ... + 4519506.

Almost surely, 23041401410 is an apocalyptic number.

3041401410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041401410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998100600).

3041401410 is an abundant number, since it is smaller than the sum of its proper divisors (4954799790).

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

3041401410 is a wasteful number, since it uses less digits than its factorization.

3041401410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3041401410 is about 55148.9021649570. The cubic root of 3041401410 is about 1448.8538560675.

Adding to 3041401410 its reverse (141041403), we get a palindrome (3182442813).

It can be divided in two parts, 3041401 and 410, that added together give a triangular number (3041811 = T2466).

The spelling of 3041401410 in words is "three billion, forty-one million, four hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 337 447 673 674 745 894 1011 1341 1346 1490 1685 2019 2022 2235 2682 3033 3365 3370 4038 4470 5055 6057 6066 6705 6730 10095 10110 12114 13410 15165 20190 30285 30330 50213 60570 100277 100426 150639 200554 226801 251065 300831 301278 451917 453602 501385 502130 601662 680403 753195 902493 903834 1002770 1134005 1360806 1504155 1506390 1804986 2041209 2259585 2268010 3008310 3402015 4082418 4512465 4519170 6804030 9024930 10206045 20412090 33793349 67586698 101380047 168966745 202760094 304140141 337933490 506900235 608280282 1013800470 1520700705 3041401410