Search a number
-
+
341142432 = 2537348679
BaseRepresentation
bin10100010101010…
…110101110100000
3212202220211102220
4110111112232200
51144313024212
653503511040
711311443231
oct2425265640
9782824386
10341142432
111656253a4
12962b8480
13558a4637
1433443088
151ee3938c
hex14556ba0

341142432 has 48 divisors (see below), whose sum is σ = 907784640. Its totient is φ = 112154112.

The previous prime is 341142419. The next prime is 341142449. The reversal of 341142432 is 234241143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17332 + ... + 31347.

It is an arithmetic number, because the mean of its divisors is an integer number (18912180).

Almost surely, 2341142432 is an apocalyptic number.

341142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

341142432 is an abundant number, since it is smaller than the sum of its proper divisors (566642208).

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

341142432 is a wasteful number, since it uses less digits than its factorization.

341142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48765 (or 48757 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 341142432 is about 18470.0414726118. The cubic root of 341142432 is about 698.7340602459.

Adding to 341142432 its reverse (234241143), we get a palindrome (575383575).

The spelling of 341142432 in words is "three hundred forty-one million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 48679 97358 146037 194716 292074 389432 584148 778864 1168296 1557728 2336592 3553567 4673184 7107134 10660701 14214268 21321402 28428536 42642804 56857072 85285608 113714144 170571216 341142432