Search a number
-
+
3401832 = 233720249
BaseRepresentation
bin1100111110100001101000
320101211102210
430332201220
51332324312
6200525120
740625610
oct14764150
96354383
103401832
111a13935
1211807a0
13921525
14647a40
15472e3c
hex33e868

3401832 has 32 divisors (see below), whose sum is σ = 9720000. Its totient is φ = 971904.

The previous prime is 3401831. The next prime is 3401833. The reversal of 3401832 is 2381043.

It is a happy number.

3401832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3401831) and next prime (3401833).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3401799 and 3401808.

It is not an unprimeable number, because it can be changed into a prime (3401831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9957 + ... + 10292.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 23401832 is an apocalyptic number.

It is an amenable number.

3401832 is an abundant number, since it is smaller than the sum of its proper divisors (6318168).

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

3401832 is a wasteful number, since it uses less digits than its factorization.

3401832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20265 (or 20261 counting only the distinct ones).

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

The square root of 3401832 is about 1844.4055953071. The cubic root of 3401832 is about 150.3964623055.

Adding to 3401832 its reverse (2381043), we get a palindrome (5782875).

The spelling of 3401832 in words is "three million, four hundred one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 20249 40498 60747 80996 121494 141743 161992 242988 283486 425229 485976 566972 850458 1133944 1700916 3401832