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3413035104 = 253377912163
BaseRepresentation
bin1100101101101110…
…1100100001100000
322210212020010222120
43023123230201200
523442214110404
61322401104240
7150402214443
oct31333544140
98725203876
103413035104
1114a1629876
127b3028080
1342513accb
1424540165a
1514e97e9d9
hexcb6ec860

3413035104 has 96 divisors (see below), whose sum is σ = 9318597120. Its totient is φ = 1092828672.

The previous prime is 3413035079. The next prime is 3413035121. The reversal of 3413035104 is 4015303143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34130351042 = 23297617242272581632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274527 + ... + 286689.

It is an arithmetic number, because the mean of its divisors is an integer number (97068720).

Almost surely, 23413035104 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 3413035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659298560).

3413035104 is an abundant number, since it is smaller than the sum of its proper divisors (5905562016).

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

3413035104 is a wasteful number, since it uses less digits than its factorization.

3413035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3413035104 is about 58421.1871156347. The cubic root of 3413035104 is about 1505.6137942219.

Adding to 3413035104 its reverse (4015303143), we get a palindrome (7428338247).

The spelling of 3413035104 in words is "three billion, four hundred thirteen million, thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 79 96 111 148 158 222 237 296 316 444 474 592 632 888 948 1184 1264 1776 1896 2528 2923 3552 3792 5846 7584 8769 11692 12163 17538 23384 24326 35076 36489 46768 48652 70152 72978 93536 97304 140304 145956 194608 280608 291912 389216 450031 583824 900062 960877 1167648 1350093 1800124 1921754 2700186 2882631 3600248 3843508 5400372 5765262 7200496 7687016 10800744 11530524 14400992 15374032 21601488 23061048 30748064 35552449 43202976 46122096 71104898 92244192 106657347 142209796 213314694 284419592 426629388 568839184 853258776 1137678368 1706517552 3413035104