Search a number
-
+
3429180 = 2232519051
BaseRepresentation
bin1101000101001100111100
320110012221200
431011030330
51334213210
6201255500
741101416
oct15051474
96405850
103429180
111a32437
121194590
13930b01
146539b6
1547b0c0
hex34533c

3429180 has 36 divisors (see below), whose sum is σ = 10402392. Its totient is φ = 914400.

The previous prime is 3429157. The next prime is 3429191. The reversal of 3429180 is 819243.

3429180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×34291803 (a number of 21 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 9346 + ... + 9705.

Almost surely, 23429180 is an apocalyptic number.

3429180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429180 is an abundant number, since it is smaller than the sum of its proper divisors (6973212).

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

3429180 is a wasteful number, since it uses less digits than its factorization.

3429180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19066 (or 19061 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3429180 is about 1851.8045253212. The cubic root of 3429180 is about 150.7984094094.

The spelling of 3429180 in words is "three million, four hundred twenty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 19051 38102 57153 76204 95255 114306 171459 190510 228612 285765 342918 381020 571530 685836 857295 1143060 1714590 3429180