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13849374 = 2371131967
BaseRepresentation
bin110100110101…
…001100011110
3222001121202210
4310311030132
512021134444
61212501250
7225501120
oct64651436
928047683
1013849374
1178aa270
12477a826
132b3b9c6
141ba7210
1513387b9
hexd3531e

13849374 has 64 divisors (see below), whose sum is σ = 35684352. Its totient is φ = 3477600.

The previous prime is 13849361. The next prime is 13849387. The reversal of 13849374 is 47394831.

It is an interprime number because it is at equal distance from previous prime (13849361) and next prime (13849387).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13839 + ... + 14805.

It is an arithmetic number, because the mean of its divisors is an integer number (557568).

Almost surely, 213849374 is an apocalyptic number.

13849374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13849374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842176).

13849374 is an abundant number, since it is smaller than the sum of its proper divisors (21834978).

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

13849374 is a wasteful number, since it uses less digits than its factorization.

13849374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021.

The product of its digits is 72576, while the sum is 39.

The square root of 13849374 is about 3721.4747076932. The cubic root of 13849374 is about 240.1467505273.

The spelling of 13849374 in words is "thirteen million, eight hundred forty-nine thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 967 1023 1302 1934 2046 2387 2901 4774 5802 6769 7161 10637 13538 14322 20307 21274 29977 31911 40614 59954 63822 74459 89931 148918 179862 209839 223377 329747 419678 446754 629517 659494 989241 1259034 1978482 2308229 4616458 6924687 13849374