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1914444 = 2232771107
BaseRepresentation
bin111010011011001001100
310121021010100
413103121030
5442230234
6105011100
722162320
oct7233114
93537110
101914444
111098394
12783a90
1352050c
1437b980
1527c399
hex1d364c

1914444 has 72 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 534240.

The previous prime is 1914443. The next prime is 1914457. The reversal of 1914444 is 4444191.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914443) 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 23 ways as a sum of consecutive naturals, for example, 17839 + ... + 17945.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

21914444 is an apocalyptic number.

1914444 is a gapful number since it is divisible by the number (14) 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 1914444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

1914444 is an abundant number, since it is smaller than the sum of its proper divisors (3746484).

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

1914444 is a wasteful number, since it uses less digits than its factorization.

1914444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1914444 is about 1383.6343447602. The cubic root of 1914444 is about 124.1692970230.

The spelling of 1914444 in words is "one million, nine hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 107 126 142 213 214 252 284 321 426 428 497 639 642 749 852 963 994 1278 1284 1491 1498 1926 1988 2247 2556 2982 2996 3852 4473 4494 5964 6741 7597 8946 8988 13482 15194 17892 22791 26964 30388 45582 53179 68373 91164 106358 136746 159537 212716 273492 319074 478611 638148 957222 1914444