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3438414 = 232729941
BaseRepresentation
bin1101000111011101001110
320110200121200
431013131032
51340012124
6201410330
741140350
oct15073516
96420550
103438414
111a39371
1211999a6
13935085
146570d0
1547dbc9
hex34774e

3438414 has 48 divisors (see below), whose sum is σ = 8817120. Its totient is φ = 947520.

The previous prime is 3438397. The next prime is 3438419. The reversal of 3438414 is 4148343.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438419) 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 23 ways as a sum of consecutive naturals, for example, 3184 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (183690).

Almost surely, 23438414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408560).

3438414 is an abundant number, since it is smaller than the sum of its proper divisors (5378706).

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

3438414 is a wasteful number, since it uses less digits than its factorization.

3438414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 982 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3438414 is about 1854.2960928611. The cubic root of 3438414 is about 150.9336433437.

The spelling of 3438414 in words is "three million, four hundred thirty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 941 1218 1827 1882 2823 3654 5646 6587 8469 13174 16938 19761 27289 39522 54578 59283 81867 118566 163734 191023 245601 382046 491202 573069 1146138 1719207 3438414