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341404032 = 2733724029
BaseRepresentation
bin10100010110010…
…110100110000000
3212210102010021210
4110112112212000
51144344412112
653513250120
711313613014
oct2426264600
9783363253
10341404032
111657939a2
1296403940
1355966728
14334b0544
151ee8bb3c
hex14596980

341404032 has 64 divisors (see below), whose sum is σ = 931402800. Its totient is φ = 110721024.

The previous prime is 341404009. The next prime is 341404039. The reversal of 341404032 is 230404143.

341404032 is digitally balanced in base 3, 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341404039) 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, 2194 + ... + 26222.

Almost surely, 2341404032 is an apocalyptic number.

341404032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465701400).

341404032 is an abundant number, since it is smaller than the sum of its proper divisors (589998768).

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

341404032 is a wasteful number, since it uses less digits than its factorization.

341404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24083 (or 24071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 341404032 is about 18477.1218537953. The cubic root of 341404032 is about 698.9126192191.

Adding to 341404032 its reverse (230404143), we get a palindrome (571808175).

The spelling of 341404032 in words is "three hundred forty-one million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 24029 48058 72087 96116 144174 192232 288348 384464 576696 768928 889073 1153392 1537856 1778146 2306784 2667219 3075712 3556292 4613568 5334438 7112584 9227136 10668876 14225168 21337752 28450336 42675504 56900672 85351008 113801344 170702016 341404032