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1000744444 = 227223733041
BaseRepresentation
bin111011101001100…
…010010111111100
32120202002002022001
4323221202113330
54022142310234
6243145232044
733541121200
oct7351422774
92522062261
101000744444
11473992127
1223b192624
1312c43ac9b
1496ca2b00
155cccbd14
hex3ba625fc

1000744444 has 72 divisors (see below), whose sum is σ = 2155634208. Its totient is φ = 404490240.

The previous prime is 1000744417. The next prime is 1000744447. The reversal of 1000744444 is 4444470001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000744447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327564 + ... + 330604.

It is an arithmetic number, because the mean of its divisors is an integer number (29939364).

Almost surely, 21000744444 is an apocalyptic number.

1000744444 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 1000744444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077817104).

1000744444 is an abundant number, since it is smaller than the sum of its proper divisors (1154889764).

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

1000744444 is a wasteful number, since it uses less digits than its factorization.

1000744444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 1000744444 is about 31634.5451049956. The cubic root of 1000744444 is about 1000.2480864480.

The spelling of 1000744444 in words is "one billion, seven hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 73 92 98 146 161 196 292 322 511 644 1022 1127 1679 2044 2254 3041 3358 3577 4508 6082 6716 7154 11753 12164 14308 21287 23506 42574 47012 69943 82271 85148 139886 149009 164542 221993 279772 298018 329084 443986 489601 596036 887972 979202 1553951 1958404 3107902 3427207 5105839 6215804 6854414 10211678 10877657 13708828 20423356 21755314 35740873 43510628 71481746 142963492 250186111 500372222 1000744444