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3404034126 = 233473174231
BaseRepresentation
bin1100101011100101…
…0111000001001110
322210020021211222000
43022321113001032
523432413043001
61321440133130
7150232545513
oct31271270116
98706254860
103404034126
111497541249
127b00071a6
1342330909c
1424413b30a
1514dca2a86
hexcae5704e

3404034126 has 64 divisors (see below), whose sum is σ = 7751669760. Its totient is φ = 1106771040.

The previous prime is 3404034119. The next prime is 3404034131. The reversal of 3404034126 is 6214304043.

3404034126 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3404034126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802431 + ... + 806661.

It is an arithmetic number, because the mean of its divisors is an integer number (121119840).

Almost surely, 23404034126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404034126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875834880).

3404034126 is an abundant number, since it is smaller than the sum of its proper divisors (4347635634).

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

3404034126 is a wasteful number, since it uses less digits than its factorization.

3404034126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3404034126 is about 58344.1010385797. The cubic root of 3404034126 is about 1504.2890761943.

Adding to 3404034126 its reverse (6214304043), we get a palindrome (9618338169).

The spelling of 3404034126 in words is "three billion, four hundred four million, thirty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 317 423 634 846 951 1269 1902 2538 2853 4231 5706 8462 8559 12693 14899 17118 25386 29798 38079 44697 76158 89394 114237 134091 198857 228474 268182 397714 402273 596571 804546 1193142 1341227 1789713 2682454 3579426 4023681 5369139 8047362 10738278 12071043 24142086 36213129 63037669 72426258 126075338 189113007 378226014 567339021 1134678042 1702017063 3404034126