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14361948 = 2234192333
BaseRepresentation
bin110110110010…
…010101011100
31000000122220000
4312302111130
512134040243
61231454300
7233034366
oct66622534
930018800
1014361948
11811a387
124987390
132c8b0c3
141c9bd36
1513da5d3
hexdb255c

14361948 has 60 divisors (see below), whose sum is σ = 39537960. Its totient is φ = 4533408.

The previous prime is 14361943. The next prime is 14361953. The reversal of 14361948 is 84916341.

It is an interprime number because it is at equal distance from previous prime (14361943) and next prime (14361953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14361943) 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 19 ways as a sum of consecutive naturals, for example, 4990 + ... + 7322.

It is an arithmetic number, because the mean of its divisors is an integer number (658966).

Almost surely, 214361948 is an apocalyptic number.

14361948 is a gapful number since it is divisible by the number (18) 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 14361948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768980).

14361948 is an abundant number, since it is smaller than the sum of its proper divisors (25176012).

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

14361948 is a wasteful number, since it uses less digits than its factorization.

14361948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2357 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14361948 is about 3789.7160843525. The cubic root of 14361948 is about 243.0735945357.

The spelling of 14361948 in words is "fourteen million, three hundred sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 2333 3078 4666 6156 6999 9332 13998 20997 27996 41994 44327 62991 83988 88654 125982 132981 177308 188973 251964 265962 377946 398943 531924 755892 797886 1196829 1595772 2393658 3590487 4787316 7180974 14361948