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34010046 = 2327475743
BaseRepresentation
bin1000000110111…
…1001110111110
32100222220000100
42001233032332
532201310141
63212541530
7562036440
oct201571676
970886010
1034010046
111821a284
12b4818a6
13707a2b5
144734490
152ebc0b6
hex206f3be

34010046 has 48 divisors (see below), whose sum is σ = 86022144. Its totient is φ = 9508752.

The previous prime is 34010023. The next prime is 34010059. The reversal of 34010046 is 64001043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3051 + ... + 8793.

It is an arithmetic number, because the mean of its divisors is an integer number (1792128).

Almost surely, 234010046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43011072).

34010046 is an abundant number, since it is smaller than the sum of its proper divisors (52012098).

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

34010046 is a wasteful number, since it uses less digits than its factorization.

34010046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34010046 is about 5831.8132686155. The cubic root of 34010046 is about 323.9930839859.

Adding to 34010046 its reverse (64001043), we get a palindrome (98011089).

The spelling of 34010046 in words is "thirty-four million, ten thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5743 5922 11486 17229 34458 40201 51687 80402 103374 120603 241206 269921 361809 539842 723618 809763 1619526 1889447 2429289 3778894 4858578 5668341 11336682 17005023 34010046