Search a number
-
+
3409900 = 2252134361
BaseRepresentation
bin1101000000011111101100
320102020111121
431000133230
51333104100
6201030324
740661254
oct15003754
96366447
103409900
111a199aa
1211853a4
139250c0
1464a964
1547551a
hex3407ec

3409900 has 72 divisors (see below), whose sum is σ = 8287664. Its totient is φ = 1209600.

The previous prime is 3409891. The next prime is 3409927. The reversal of 3409900 is 99043.

3409900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 55870 + ... + 55930.

Almost surely, 23409900 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 3409900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143832).

3409900 is an abundant number, since it is smaller than the sum of its proper divisors (4877764).

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

3409900 is a wasteful number, since it uses less digits than its factorization.

3409900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3409900 is about 1846.5914545454. The cubic root of 3409900 is about 150.5152650234.

The spelling of 3409900 in words is "three million, four hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 61 65 86 100 122 130 172 215 244 260 305 325 430 559 610 650 793 860 1075 1118 1220 1300 1525 1586 2150 2236 2623 2795 3050 3172 3965 4300 5246 5590 6100 7930 10492 11180 13115 13975 15860 19825 26230 27950 34099 39650 52460 55900 65575 68198 79300 131150 136396 170495 262300 340990 681980 852475 1704950 3409900