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341376 = 2737127
BaseRepresentation
bin1010011010110000000
3122100021120
41103112000
541411001
611152240
72621160
oct1232600
9570246
10341376
11213532
12145680
13bc4c9
148c5a0
156b236
hex53580

341376 has 64 divisors (see below), whose sum is σ = 1044480. Its totient is φ = 96768.

The previous prime is 341357. The next prime is 341423. The reversal of 341376 is 673143.

341376 = T1 + T2 + ... + T126.

341376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

341376 is a nontrivial binomial coefficient, being equal to C(128, 3).

It is a tau number, because it is divible by the number of its divisors (64).

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 a congruent number.

It is an unprimeable number.

341376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 126-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2625 + ... + 2751.

It is an arithmetic number, because the mean of its divisors is an integer number (16320).

2341376 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 341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522240).

341376 is an abundant number, since it is smaller than the sum of its proper divisors (703104).

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

341376 is a wasteful number, since it uses less digits than its factorization.

341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 341376 is about 584.2739083683. The cubic root of 341376 is about 69.8893489925.

It can be divided in two parts, 34137 and 6, that added together give a palindrome (34143).

The spelling of 341376 in words is "three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 336 381 384 448 508 672 762 889 896 1016 1344 1524 1778 2032 2667 2688 3048 3556 4064 5334 6096 7112 8128 10668 12192 14224 16256 21336 24384 28448 42672 48768 56896 85344 113792 170688 341376