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3404340100 = 2252717436653
BaseRepresentation
bin1100101011101010…
…0001101110000100
322210020212101200101
43022322201232010
523433002340400
61321450453444
7150235261540
oct31272415604
98706771611
103404340100
111497730117
127b0134284
134233b5435
142441baa20
1514dd1356a
hexcaea1b84

3404340100 has 144 divisors (see below), whose sum is σ = 9148664448. Its totient is φ = 1072834560.

The previous prime is 3404340091. The next prime is 3404340109. The reversal of 3404340100 is 10434043.

It is an interprime number because it is at equal distance from previous prime (3404340091) and next prime (3404340109).

It is not an unprimeable number, because it can be changed into a prime (3404340109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508374 + ... + 515026.

It is an arithmetic number, because the mean of its divisors is an integer number (63532392).

Almost surely, 23404340100 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 3404340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574332224).

3404340100 is an abundant number, since it is smaller than the sum of its proper divisors (5744324348).

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

3404340100 is a wasteful number, since it uses less digits than its factorization.

3404340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3404340100 is about 58346.7231299239. The cubic root of 3404340100 is about 1504.3341462043.

Adding to 3404340100 its reverse (10434043), we get a palindrome (3414774143).

The spelling of 3404340100 in words is "three billion, four hundred four million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 43 50 68 70 85 86 100 119 140 170 172 175 215 238 301 340 350 425 430 476 595 602 700 731 850 860 1075 1190 1204 1462 1505 1700 2150 2380 2924 2975 3010 3655 4300 5117 5950 6020 6653 7310 7525 10234 11900 13306 14620 15050 18275 20468 25585 26612 30100 33265 36550 46571 51170 66530 73100 93142 102340 113101 127925 133060 166325 186284 226202 232855 255850 286079 332650 452404 465710 511700 565505 572158 665300 791707 931420 1131010 1144316 1164275 1430395 1583414 2002553 2262020 2328550 2827525 2860790 3166828 3958535 4005106 4657100 4863343 5655050 5721580 7151975 7917070 8010212 9726686 10012765 11310100 14303950 15834140 19453372 19792675 20025530 24316715 28607900 34043401 39585350 40051060 48633430 50063825 68086802 79170700 97266860 100127650 121583575 136173604 170217005 200255300 243167150 340434010 486334300 680868020 851085025 1702170050 3404340100