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34102044 = 223283101113
BaseRepresentation
bin1000001000010…
…1101100011100
32101011120012200
42002011230130
532212231134
63214531500
7562601604
oct202055434
971146180
1034102044
1118282409
12b506b90
1370b0132
144759c04
152ed9499
hex2085b1c

34102044 has 72 divisors (see below), whose sum is σ = 88884432. Its totient is φ = 11020800.

The previous prime is 34102001. The next prime is 34102063. The reversal of 34102044 is 44020143.

34102044 = T277 + T278 + ... + T608.

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, 301732 + ... + 301844.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 234102044 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 34102044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44442216).

34102044 is an abundant number, since it is smaller than the sum of its proper divisors (54782388).

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

34102044 is a wasteful number, since it uses less digits than its factorization.

34102044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34102044 is about 5839.6955400089. The cubic root of 34102044 is about 324.2849573547.

Adding to 34102044 its reverse (44020143), we get a palindrome (78122187).

The spelling of 34102044 in words is "thirty-four million, one hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 101 113 166 202 226 249 303 332 339 404 452 498 606 678 747 909 996 1017 1212 1356 1494 1818 2034 2988 3636 4068 8383 9379 11413 16766 18758 22826 25149 28137 33532 34239 37516 45652 50298 56274 68478 75447 84411 100596 102717 112548 136956 150894 168822 205434 301788 337644 410868 947279 1894558 2841837 3789116 5683674 8525511 11367348 17051022 34102044