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34121604 = 223112311239
BaseRepresentation
bin1000001000101…
…0011110000100
32101012120001010
42002022132010
532213342404
63215202220
7563012616
oct202123604
971176033
1034121604
1118296080
12b516370
1370b8cca
144762db6
152ee0189
hex208a784

34121604 has 48 divisors (see below), whose sum is σ = 90639360. Its totient is φ = 9889440.

The previous prime is 34121599. The next prime is 34121609. The reversal of 34121604 is 40612143.

It is an interprime number because it is at equal distance from previous prime (34121599) and next prime (34121609).

It is not an unprimeable number, because it can be changed into a prime (34121609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2584 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (1888320).

Almost surely, 234121604 is an apocalyptic number.

It is an amenable number.

34121604 is an abundant number, since it is smaller than the sum of its proper divisors (56517756).

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

34121604 is a wasteful number, since it uses less digits than its factorization.

34121604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34121604 is about 5841.3700447755. The cubic root of 34121604 is about 324.3469458328.

Adding to 34121604 its reverse (40612143), we get a palindrome (74733747).

It can be divided in two parts, 341 and 21604, that added together give a triangular number (21945 = T209).

The spelling of 34121604 in words is "thirty-four million, one hundred twenty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 11239 22478 33717 44956 67434 123629 134868 247258 258497 370887 494516 516994 741774 775491 1033988 1483548 1550982 2843467 3101964 5686934 8530401 11373868 17060802 34121604