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3401411034 = 2371712973673
BaseRepresentation
bin1100101010111101…
…0110100111011010
322210001100120202110
43022233112213122
523431230123114
61321304013150
7150201342150
oct31257264732
98701316673
103401411034
11149600a4aa
127ab1611b6
134228cb168
14243a573d0
1514d935759
hexcabd69da

3401411034 has 64 divisors (see below), whose sum is σ = 8240576256. Its totient is φ = 913711104.

The previous prime is 3401411023. The next prime is 3401411053. The reversal of 3401411034 is 4301141043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3401411034.

It is an unprimeable number.

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, 924222 + ... + 927894.

It is an arithmetic number, because the mean of its divisors is an integer number (128759004).

Almost surely, 23401411034 is an apocalyptic number.

3401411034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401411034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120288128).

3401411034 is an abundant number, since it is smaller than the sum of its proper divisors (4839165222).

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

3401411034 is a wasteful number, since it uses less digits than its factorization.

3401411034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3401411034 is about 58321.6172100877. The cubic root of 3401411034 is about 1503.9025835335.

Adding to 3401411034 its reverse (4301141043), we get a palindrome (7702552077).

The spelling of 3401411034 in words is "three billion, four hundred one million, four hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1297 2594 3673 3891 7346 7782 9079 11019 18158 22038 22049 25711 27237 44098 51422 54474 62441 66147 77133 124882 132294 154266 154343 187323 308686 374646 437087 463029 874174 926058 1311261 2622522 4763881 9527762 14291643 28583286 33347167 66694334 80985977 100041501 161971954 200083002 242957931 485915862 566901839 1133803678 1700705517 3401411034