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341214444 = 22343728463
BaseRepresentation
bin10100010101101…
…000010011101100
3212210001111020000
4110111220103230
51144322330234
653505224300
711312163204
oct2425502354
9783044200
10341214444
1116567450a
1296332090
13558cb34c
1433461404
151ee50899
hex145684ec

341214444 has 60 divisors (see below), whose sum is σ = 916142304. Its totient is φ = 110660256.

The previous prime is 341214439. The next prime is 341214449. The reversal of 341214444 is 444412143.

341214444 is a `hidden beast` number, since 3 + 4 + 1 + 214 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (341214439) and next prime (341214449).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (341214449) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2244 + ... + 26219.

Almost surely, 2341214444 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 341214444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458071152).

341214444 is an abundant number, since it is smaller than the sum of its proper divisors (574927860).

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

341214444 is a wasteful number, since it uses less digits than its factorization.

341214444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28516 (or 28505 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 341214444 is about 18471.9907968795. The cubic root of 341214444 is about 698.7832222111.

Adding to 341214444 its reverse (444412143), we get a palindrome (785626587).

The spelling of 341214444 in words is "three hundred forty-one million, two hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 28463 56926 85389 113852 170778 256167 341556 512334 768501 1024668 1053131 1537002 2106262 2305503 3074004 3159393 4212524 4611006 6318786 9222012 9478179 12637572 18956358 28434537 37912716 56869074 85303611 113738148 170607222 341214444