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3414138234 = 231319712457
BaseRepresentation
bin1100101101111111…
…1001110101111010
322210221022012012020
43023133321311322
523443004410414
61322440455310
7150414460533
oct31337716572
98727265166
103414138234
1114a2212651
127b347a536
13425436150
1424560b68a
1514eaeb7a9
hexcb7f9d7a

3414138234 has 96 divisors (see below), whose sum is σ = 7868293440. Its totient is φ = 979050240.

The previous prime is 3414138223. The next prime is 3414138281. The reversal of 3414138234 is 4328314143.

It is a junction number, because it is equal to n+sod(n) for n = 3414138195 and 3414138204.

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, 7470534 + ... + 7470990.

It is an arithmetic number, because the mean of its divisors is an integer number (81961390).

Almost surely, 23414138234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414138234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934146720).

3414138234 is an abundant number, since it is smaller than the sum of its proper divisors (4454155206).

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

3414138234 is a wasteful number, since it uses less digits than its factorization.

3414138234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 565 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3414138234 is about 58430.6275338542. The cubic root of 3414138234 is about 1505.7759869905.

The spelling of 3414138234 in words is "three billion, four hundred fourteen million, one hundred thirty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 426 457 494 741 914 923 1349 1371 1482 1846 2698 2742 2769 4047 5041 5538 5941 8094 8683 10082 11882 15123 17366 17537 17823 26049 30246 32447 35074 35646 52098 52611 64894 65533 95779 97341 105222 112879 131066 191558 194682 196599 225758 287337 338637 393198 421811 574674 616493 677274 843622 1232986 1245127 1265433 1849479 2303737 2490254 2530866 3698958 3735381 4607474 6911211 7470762 8014409 13822422 16028818 24043227 29948581 43771003 48086454 59897162 87542006 89845743 131313009 179691486 262626018 569023039 1138046078 1707069117 3414138234