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14334372 = 223213109281
BaseRepresentation
bin110110101011…
…100110100100
3222222021001200
4312223212210
512132144442
61231122500
7232561113
oct66534644
928867050
1014334372
118100698
124973430
132c7b6a0
141c91c7a
1513d234c
hexdab9a4

14334372 has 72 divisors (see below), whose sum is σ = 39519480. Its totient is φ = 4354560.

The previous prime is 14334371. The next prime is 14334373. The reversal of 14334372 is 27343341.

It is an interprime number because it is at equal distance from previous prime (14334371) and next prime (14334373).

It can be written as a sum of positive squares in 4 ways, for example, as 2056356 + 12278016 = 1434^2 + 3504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334371) 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, 50872 + ... + 51152.

Almost surely, 214334372 is an apocalyptic number.

14334372 is a gapful number since it is divisible by the number (12) 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 14334372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759740).

14334372 is an abundant number, since it is smaller than the sum of its proper divisors (25185108).

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

14334372 is a wasteful number, since it uses less digits than its factorization.

14334372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 14334372 is about 3786.0760689664. The cubic root of 14334372 is about 242.9179217791.

It can be divided in two parts, 14334 and 372, that added together give a triangular number (14706 = T171).

The spelling of 14334372 in words is "fourteen million, three hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 281 327 436 468 562 654 843 981 1124 1308 1417 1686 1962 2529 2834 3372 3653 3924 4251 5058 5668 7306 8502 10116 10959 12753 14612 17004 21918 25506 30629 32877 43836 51012 61258 65754 91887 122516 131508 183774 275661 367548 398177 551322 796354 1102644 1194531 1592708 2389062 3583593 4778124 7167186 14334372