Search a number
-
+
34103004 = 22313713079
BaseRepresentation
bin1000001000010…
…1111011011100
32101011121112020
42002011323130
532212244004
63214540140
7562604445
oct202057334
971147466
1034103004
1118283101
12b507650
1370b06c0
14475a2cc
152ed98d9
hex2085edc

34103004 has 48 divisors (see below), whose sum is σ = 86929920. Its totient is φ = 10342080.

The previous prime is 34102993. The next prime is 34103039. The reversal of 34103004 is 40030143.

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, 9537 + ... + 12615.

It is an arithmetic number, because the mean of its divisors is an integer number (1811040).

Almost surely, 234103004 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 34103004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464960).

34103004 is an abundant number, since it is smaller than the sum of its proper divisors (52826916).

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

34103004 is a wasteful number, since it uses less digits than its factorization.

34103004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34103004 is about 5839.7777354964. Note that the first 4 decimals coincide. The cubic root of 34103004 is about 324.2880002870.

Adding to 34103004 its reverse (40030143), we get a palindrome (74133147).

The spelling of 34103004 in words is "thirty-four million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3079 3692 5538 6158 9237 11076 12316 18474 36948 40027 80054 120081 160108 218609 240162 437218 480324 655827 874436 1311654 2623308 2841917 5683834 8525751 11367668 17051502 34103004