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11322444 = 2237373643
BaseRepresentation
bin101011001100…
…010001001100
3210022020110210
4223030101030
510344304234
61042402420
7165145020
oct53142114
923266423
1011322444
1164337a1
123960410
132465793
14170a380
15ed9be9
hexacc44c

11322444 has 48 divisors (see below), whose sum is σ = 31017728. Its totient is φ = 3146688.

The previous prime is 11322439. The next prime is 11322473. The reversal of 11322444 is 44422311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11322444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 4929.

Almost surely, 211322444 is an apocalyptic number.

11322444 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 11322444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508864).

11322444 is an abundant number, since it is smaller than the sum of its proper divisors (19695284).

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

11322444 is a wasteful number, since it uses less digits than its factorization.

11322444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 11322444 is about 3364.8839504506. The cubic root of 11322444 is about 224.5501728957.

Adding to 11322444 its reverse (44422311), we get a palindrome (55744755).

The spelling of 11322444 in words is "eleven million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 3643 7286 10929 14572 21858 25501 43716 51002 76503 102004 134791 153006 269582 306012 404373 539164 808746 943537 1617492 1887074 2830611 3774148 5661222 11322444