Search a number
-
+
34104700 = 2252783587
BaseRepresentation
bin1000001000011…
…0010101111100
32101011200212001
42002012111330
532212322300
63214552044
7562612420
oct202062574
971150761
1034104700
1118284403
12b508624
1370b13c6
14475ab80
152eda16a
hex208657c

34104700 has 72 divisors (see below), whose sum is σ = 85744512. Its totient is φ = 11532480.

The previous prime is 34104659. The next prime is 34104731. The reversal of 34104700 is 740143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57807 + ... + 58393.

It is an arithmetic number, because the mean of its divisors is an integer number (1190896).

Almost surely, 234104700 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 34104700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42872256).

34104700 is an abundant number, since it is smaller than the sum of its proper divisors (51639812).

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

34104700 is a wasteful number, since it uses less digits than its factorization.

34104700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 34104700 is about 5839.9229446971. The cubic root of 34104700 is about 324.2933759946.

Adding to 34104700 its reverse (740143), we get a palindrome (34844843).

The spelling of 34104700 in words is "thirty-four million, one hundred four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 587 700 830 1162 1174 1660 2075 2324 2348 2905 2935 4109 4150 5810 5870 8218 8300 11620 11740 14525 14675 16436 20545 29050 29350 41090 48721 58100 58700 82180 97442 102725 194884 205450 243605 341047 410900 487210 682094 974420 1218025 1364188 1705235 2436050 3410470 4872100 6820940 8526175 17052350 34104700