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34010004 = 2237676043
BaseRepresentation
bin1000000110111…
…1001110010100
32100222212221210
42001233032110
532201310004
63212541420
7562036350
oct201571624
970885853
1034010004
111821a246
12b481870
13707a282
144734460
152ebc089
hex206f394

34010004 has 48 divisors (see below), whose sum is σ = 92062208. Its totient is φ = 9570528.

The previous prime is 34009991. The next prime is 34010023. The reversal of 34010004 is 40001043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2607 + ... + 8649.

Almost surely, 234010004 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 34010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46031104).

34010004 is an abundant number, since it is smaller than the sum of its proper divisors (58052204).

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

34010004 is a wasteful number, since it uses less digits than its factorization.

34010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6124 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34010004 is about 5831.8096676761. The cubic root of 34010004 is about 323.9929506163.

Adding to 34010004 its reverse (40001043), we get a palindrome (74011047).

The spelling of 34010004 in words is "thirty-four million, ten thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 6043 12086 18129 24172 36258 42301 72516 84602 126903 169204 253806 404881 507612 809762 1214643 1619524 2429286 2834167 4858572 5668334 8502501 11336668 17005002 34010004