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3414086104 = 23111313812161
BaseRepresentation
bin1100101101111110…
…1101000111011000
322210221012112200111
43023133231013120
523443001223404
61322435414104
7150414152542
oct31337550730
98727175614
103414086104
1114a2187470
127b3454334
134254184c0
142455d6692
1514eadb104
hexcb7ed1d8

3414086104 has 64 divisors (see below), whose sum is σ = 7529467680. Its totient is φ = 1430784000.

The previous prime is 3414086087. The next prime is 3414086111. The reversal of 3414086104 is 4016804143.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1578784 + ... + 1580944.

Almost surely, 23414086104 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 3414086104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764733840).

3414086104 is an abundant number, since it is smaller than the sum of its proper divisors (4115381576).

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

3414086104 is a wasteful number, since it uses less digits than its factorization.

3414086104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 3414086104 is about 58430.1814476046. The cubic root of 3414086104 is about 1505.7683231237.

The spelling of 3414086104 in words is "three billion, four hundred fourteen million, eighty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1381 2161 2762 4322 5524 8644 11048 15191 17288 17953 23771 28093 30382 35906 47542 56186 60764 71812 95084 112372 121528 143624 190168 197483 224744 309023 394966 618046 789932 1236092 1579864 2472184 2984341 5968682 11937364 23874728 32827751 38796433 65655502 77592866 131311004 155185732 262622008 310371464 426760763 853521526 1707043052 3414086104