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944059104 = 25332347507
BaseRepresentation
bin111000010001010…
…011001011100000
32102210102011122000
4320101103023200
53413134342404
6233402244000
732252240622
oct7021231340
92383364560
10944059104
1144499563a
122241b6600
13120781971
148d548c12
1557d31339
hex384532e0

944059104 has 96 divisors (see below), whose sum is σ = 2873283840. Its totient is φ = 300998016.

The previous prime is 944059093. The next prime is 944059111. The reversal of 944059104 is 401950449.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 3882 + ... + 43625.

It is an arithmetic number, because the mean of its divisors is an integer number (29930040).

Almost surely, 2944059104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436641920).

944059104 is an abundant number, since it is smaller than the sum of its proper divisors (1929224736).

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

944059104 is a wasteful number, since it uses less digits than its factorization.

944059104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47549 (or 47535 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 944059104 is about 30725.5448120941. The cubic root of 944059104 is about 980.9940988525.

The spelling of 944059104 in words is "nine hundred forty-four million, fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 47507 95014 142521 190028 285042 380056 427563 570084 760112 855126 1092661 1140168 1282689 1520224 1710252 2185322 2280336 2565378 3277983 3420504 4370644 4560672 5130756 6555966 6841008 8741288 9833949 10261512 13111932 13682016 17482576 19667898 20523024 26223864 29501847 34965152 39335796 41046048 52447728 59003694 78671592 104895456 118007388 157343184 236014776 314686368 472029552 944059104